1.
EB
by Robert Bix
2.
EB
by John G. Ratcliffe
3.
EB
by Armand Borel, Lizhen Ji
4.
EB
edited by Pavel Etingof, Vladimir Retakh, I. M. Singer
5.
EB
by Gregor Fels, Alan Huckleberry, Joseph A. Wolf
6.
EB
edited by Victor Ginzburg
7.
EB
by Gabriel Daniel Villa Salvador
8.
EB
by Neil Chriss, Victor Ginzburg
9.
EB
edited by Özgür Ceyhan, Yu. I. Manin, Matilde Marcolli
10.
EB
edited by Fedor Bogomolov, Yuri Tschinkel
11.
EB
by Robin Hartshorne
12.
EB
edited by Ioannis Z. Emiris, Frank Sottile, Thorsten Theobald
13.
EB
edited by Fouad Zein, Alexandru I. Suciu, Meral Tosun, A. Muhammed Uludağ, Sergey Yuzvinsky
14.
EB
edited by H. E. A. Campbell, Aloysius G. Helminck, Hanspeter Kraft, David Wehlau
15.
EB
edited by Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson
16.
EB
by Cédric Bonnafé
17.
EB
edited by Karl-Hermann Neeb, Arturo Pianzola
18.
EB
by Hershel M. Farkas, Shaul Zemel
出版情報:
New York, NY : Springer Science + Business Media, LLC, 2011
シリーズ名:
Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 21
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19.
EB
by J. Michael McCarthy, Gim Song Soh
20.
EB
edited by Akihiko Gyoja, Hiraku Nakajima, Ken-ichi Shinoda, Toshiaki Shoji, Toshiyuki Tanisaki
21.
EB
edited by Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu
22.
EB
by Gregor Kemper
23.
EB
by Ahmed Abbes
24.
EB
by H.E.A. Eddy Campbell, David L. Wehlau
25.
EB
by Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 268
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26.
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by D.A. Timashev
27.
EB
by Frédéric Pham
28.
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by Vladimir Dragović, Milena Radnović
29.
EB
edited by Gunnar Fløystad, Trygve Johnsen, Andreas Leopold Knutsen
30.
EB
edited by E. Marchionna
31.
EB
edited by E. Martinelli
32.
EB
edited by F. Severi
33.
EB
edited by G. Tomassini
34.
EB
edited by B. Segre
35.
EB
edited by B. Segre
36.
EB
edited by Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk
37.
EB
edited by Johan A.C. Kolk, Erik P. van den Ban
38.
EB
by Marc Hindry
39.
EB
by David Joyner, Jon-Lark Kim
40.
EB
by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
41.
EB
by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
42.
EB
by Donu Arapura
43.
EB
by Alain Chenciner
44.
EB
edited by Bert Jüttler, Ragni Piene
45.
EB
by Gert-Martin Greuel, Gerhard Pfister
46.
EB
by J. Rafael Sendra, Franz Winkler, Sonia Pérez-Díaz
47.
EB
by Jan Hendrik Bruinier, Gerard Geer, Günter Harder, Don Zagier ; edited by Kristian Ranestad
48.
EB
by Venkatramani Lakshmibai, Komaranapuram N. Raghavan
49.
EB
by Chris A.M. Peters, Joseph H.M. Steenbrink
出版情報:
Berlin, Heidelberg : Springer-Verlag, 2008
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 52
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50.
EB
by Michael D. Fried, Moshe Jarden
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 11
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http://dx.doi.org/10.1007/978-3-540-77270-5
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51.
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by Laurent Fargues, Alain Genestier, Vincent Lafforgue
52.
EB
edited by Piotr Pragacz
53.
EB
by Peter Abramenko, Kenneth S. Brown
54.
EB
edited by Krzysztof Galicki, Santiago R. Simanca
55.
EB
edited by Yuri Tschinkel, Yuri Zarhin
56.
EB
edited by Yuri Tschinkel, Yuri Zarhin
57.
EB
by Daniel Hernández Ruipérez, Ugo Bruzzo, Claudio Bartocci
58.
EB
edited by Carol Parikh
59.
EB
by Joseph H. Silverman
60.
EB
by Illia Itenberg, Grigory Mikhalkin, Eugenii Shustin
61.
EB
by Henning Stichtenoth
62.
EB
by Boris Khesin, Robert Wendt ; edited by R. Remmert
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ; 51
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63.
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by Mathias Drton, Bernd Sturmfels, Seth Sullivant
64.
EB
edited by Lorenzo Robbiano, John Abbott
出版情報:
Vienna : Springer-Verlag Vienna, 2009
シリーズ名:
Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria ;
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http://dx.doi.org/10.1007/978-3-211-99314-9
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65.
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edited by Nils Baas, Eric M. Friedlander, Björn Jahren, Paul Arne Østvær
66.
EB
by George E. Andrews, Bruce C. Berndt
67.
EB
edited by Richard Pollack, János Pach, Jacob E. Goodman
68.
EB
edited by Mihai Putinar, Seth Sullivant
69.
EB
by William Stein
出版情報:
New York, NY : Springer Science+Business Media, LLC, 2009
シリーズ名:
Undergraduate Texts in Mathematics ;
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http://dx.doi.org/10.1007/b13279
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70.
EB
by J.J. Duistermaat
71.
EB
edited by Alexander Schmitt
72.
EB
edited by María Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, Ignacio Sols
73.
EB
by Christopher D. Hacon, Sándor Kovács
74.
EB
by Peter Buser
75.
EB
by Alexander Ostermann, Gerhard Wanner
76.
EB
by Titu Andreescu, Bogdan Enescu
77.
EB
by Audun Holme
78.
EB
edited by N.S. Narasimha Sastry
79.
EB
by Andries E. Brouwer, Willem H. Haemers
80.
EB
by Egbert Brieskorn, Horst Knörrer
目次情報:
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I. History of algebraic curves
1. Origin and generation of curves
2. Synthetic and analytic geometry
3. The development of projective geometry
II. Investigation of curves by elementary algebraic methods
4. Polynomials
5. Definition and elementary properties of plane algebraic curves
6. The intersection of plane curves
7. Some simple types of curves
III. Investigation of curves by resolution of singularities
8. Local investigations
9. Global investigations
Bibliography
Index
I. History of algebraic curves
1. Origin and generation of curves
2. Synthetic and analytic geometry
81.
EB
by Ze-Li Dou, Qiao Zhang
目次情報:
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Modular forms and the Shimura-Taniyama Conjecture
Periods of automorphic forms
Lifting of automorphic forms
Zeros of L-functions
Special Values of L-functions
Theta lifts and periods with respect to a quadratic extension
Modular forms and the Shimura-Taniyama Conjecture
Periods of automorphic forms
Lifting of automorphic forms
82.
EB
by Xueli Wang, Dingyi Pei
目次情報:
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Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
Modular Forms with Integral Weight or Half-integral Weight
Operators on the Space of Modular Forms
New Forms and Old Forms.-Construction of Eisenstein Series
Weil Representation and Shimura Lifting
Trace Formula
Integers Represented by Positive Definite Quadratic Forms
Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
83.
EB
by Tomaž Pisanski, Brigitte Servatius
目次情報:
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Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
84.
EB
by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
目次情報:
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Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi-Metric Spaces
Non-Locally Convex Functional Analysis
Functional Analysis on Quasi-Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
85.
EB
by Siegfried Bosch
目次情報:
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Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
Extension of Coefficients and Descent
Homological Methods: Ext and Tor
Affine Schemes and Basic Constructions
Techniques of Global Schemes
Etale and Smooth Morphisms
Projective Schemes and Proper Morphisms
Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
86.
EB
edited by Irena Peeva
目次情報:
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Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies
Paul Aspinwall: Some Applications of Commutative Algebra to String Theory
Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics
Christine Berkesch, Daniel Erman, and Manoj Kumini: Three avors of extremal Betti tables
Manuel Blickle and Karl Schwede: p1 linear maps in algebra and geometry
Markus Brodmann, Cao Luy Linh, and Maria-Helena Seiler: Castelnuovo-Mumford Regularity of Annihilators, Ext-Modules and Tor-Modules
David Buchsbaum: Selections From the Letter-Place Panoply
Aldo Conca, Emanuella DeNegri, and Maria-Evelina Rossi: Bounds for the Castelnuovo-Mumford regularity and Koszul algebras
Marc Chardin: Powers of ideals: Betti numbers, cohomology and regularity
Hailong Dao: Some homological properties of modules over a complete intersection, with applications
Christopher Francisco, Huy Tai Ha, and Jeffrey Mermin: Powers of squarefree ideals and combinatorics
Graham Evans and Phillip Griffith: A Brief History of Order Ideals
Laurent Gruson, Steven Sam, and Jerzy Weyman: Moduli of Abelian varieties, Vinberg 0-groups, and free resolutions
Melvin Hochster: F-purity, Frobenius splitting, and tight closure
Craig Huneke: Hilbert-Kunz multiplicity and the F-signature
Juan Migliore, Uwe Nagel, and Fabrizio Zanello : Pure O-sequences: known results, applications and open problems
Jason McCullough and Alexandra Seceleanu: Bounding projective dimension
Graham Leuschke and Roger Wiegand: Brauer-Thrall theory for Maximal Cohen-Macaulay modules
Paul Monsky: Tight closure's failure to localize
a self-contained exposition
Giorgio Ottaviani: Introduction to the hyperdeterminant and to the rank of multidimensional matrices
Henry Schenck and Jessica Sidman: Commutative Algebra of Subspace and Hyperplane Arrangements
Wolmer Vasconcelos: Cohomological Degrees and Applications
Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies
Paul Aspinwall: Some Applications of Commutative Algebra to String Theory
Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics
87.
EB
by Ernst Kunz
目次情報:
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Foreword
Preface
Preface to the English Edition
Terminology.- Algebraic varieties
Dimension
Regular and rational functions on algebraic varieties
The local-global principle in commutative algebra
On the number of equations needed to describe an algebraic variety.- Regular and singular points of algebraic varieties
Projective Resolutions.- Bibliography
List of Symbols
Index.
Foreword
Preface
Preface to the English Edition
88.
EB
edited by Radu Laza, Matthias Schütt, Noriko Yui
目次情報:
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.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties (J.D. Lewis)
Two Lectures on the Arithmetic of K3 Surfaces (M. Schütt)
Modularity of Calabi–Yau Varieties (N. Yui)
Explicit Algebraic Coverings of a Pointed Torus (A. Anema, J. Top)
Elliptic Fibrations on the Modular Surface Associated to Γ1(8)
Universal Kummer Families over Shimura Curves (A. Besser, R. Livné)
Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (I.V. Dolgachev)
Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials (S. Gährs)
A Structure Theorem for Fibrations on Delsarte Surfaces (B. Heijne, R. Kloosterman)
Fourier–Mukai Partners and Polarised K3 Surfaces (K. Hulek, D. Ploog)
On a Family of K3 Surfaces with S4 Symmetry (D. Karp, J. Lewish, D. Moore, D. Skjorshammer, U. Whitcher)
K1ind of Elliptically Fibered K3 Surfaces (M. Kerr)
A Note About Special Cycles on Moduli Spaces of K3 Surfaces (S. Kudla)
Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms (S. Mukai, H. Ohashi)
Quartic K3 Surfaces and Cremona Transformations (K. Oguiso)
Invariants of Regular Models of the Product of Two Elliptical Curves at a Place of Multiplicative Reduction (C. Schoen)
Dynamics of Special Points on Intermediate Jacobians (X. Chen, J.D. Lewis)
Calabi–Yau Conifold Expansions (S. Cynk, D. van Straten)
Quadratic Twists of Rigid Calabi–Yau Threefolds over Q (F.Q. Gouvêa, I. Kimming, N. Yui)
Counting Sheaves on Calabi–Yau and Abelian Threefolds (M.G. Gulbrandsen)
The Serge Cubic and Borcherds Products (S. Kondo)
Quadi-Modular Forms Attached to Hodge Structures (H. Movasati)
The Zero Locus of the Infinitesimal Invariable (G. Pearlstein, Ch. Schnell)
.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
89.
EB
edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
目次情報:
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Foreword
Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces
F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products
F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models
I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces
O. Debarre, Curves of low degrees on projective varieties
S. Kebekus, Uniruledness criteria and applications
S. Kovács, The cone of curves of K3 surfaces revisited
V. Lazić, Around and beyond the canonical class
C. Liedtke, Algebraic surfaces in positive characteristic
A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces
Foreword
Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces
F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products
90.
EB
by Haruzo Hida
目次情報:
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1 Non-triviality of Arithmetic Invariants
2 Elliptic Curves and Modular Forms
3 Invariants, Shimura Variety and Hecke Algebra
4 Review of Scheme Theory
5 Geometry of Variety
6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L–values.- 9 p-Adic Hecke L-functions and their μ-invariants.- 10 Toric Subschemes in a Split Formal Torus
11 Hecke Stable Subvariety is a Shimura Subvariety
References
Symbol Index
Statement Index
Subject Index
1 Non-triviality of Arithmetic Invariants
2 Elliptic Curves and Modular Forms
3 Invariants, Shimura Variety and Hecke Algebra
91.
EB
by Sotirios E. Louridas, Michael Th. Rassias
目次情報:
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Foreword
Preface
Basic Concepts and Theorems of Euclidean Geometry
Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions
Geometrical Loci
Problems of Olympiad Caliber
Solutions of the Problems
Bibliography
Index
Foreword
Preface
Basic Concepts and Theorems of Euclidean Geometry
92.
EB
edited by Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ
目次情報:
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Preface
J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
M. Romagny: Models of curves
A. Cadoret: Galois categories:- M. Emsalem. Fundamental groupoid scheme
N. Borne: Extension of Galois groups by solvable groups, and application to fundamental groups of curves
M.A. Garuti: On the “Galois closure” for finite morphisms
J.-C. Douai: Hasse Principle and Cohomology of Groups
Z. Wojtkowiak: Periods of mixed Tate motives, examples, l-adic side
L. Bary-Soroker and E. Paran: On totally ramified extensions of discrete valued fields
R.-P. Holzapfel and M. Petkova: An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups
Preface
J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
M. Romagny: Models of curves
93.
EB
by Laurent Berger, Gebhard Böckle, Lassina Dembélé, Mladen Dimitrov, Tim Dokchitser, John Voight
目次情報:
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Part I: Galois Deformations
On p-adic Galois Representations
Deformations of Galois Representations
Part II: Hilbert Modular Forms
Arithmetic Aspects of Hilbert Modular Forms and Varieties
Explicit Methods for Hilbert Modular Forms
Part III: Elliptic Curves
Notes on the Parity Conjecture
Part I: Galois Deformations
On p-adic Galois Representations
Deformations of Galois Representations
94.
EB
by Marco Fontana, Evan Houston, Thomas Lucas
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Lecture Notes of the Unione Matematica Italiana ; 14
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http://dx.doi.org/10.1007/978-3-642-31712-5
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95.
EB
edited by John Coates, Peter Schneider, R. Sujatha, Otmar Venjakob
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 29
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オンライン:
http://dx.doi.org/10.1007/978-3-642-32199-3
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目次情報:
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Preface
John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields
R. Sujatha: Reductions of the main conjecture
Ted Chinburg, Georgios Pappas, Martin J. Taylor: The group logarithm past and present
Peter Schneider, Otmar Venjakob: K_1 of certain Iwasawa algebras, after Kakde
Mahesh Kakde: Congruences between abelian p-adic zeta functions
Otmar Venjakob: On the work of Ritter and Weiss in comparison with Kakde's approach
Malte Witte: Noncommutative Main Conjectures of Geometric Iwasawa Theory
Preface
John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields
R. Sujatha: Reductions of the main conjecture
96.
EB
by Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin
目次情報:
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Publisher's Foreword
Editors' Foreword
Introduction
2 Geometry of Conic Sections
3 The Physics of Conic Sections and Ellipsoids
4 Projective Geometry
5 Complex Algebraic Curves
6 A Problem for School Pupils
A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments on Gudkov's Conjecture
Notes
Publisher's Foreword
Editors' Foreword
Introduction
97.
EB
by Igor R. Shafarevich
目次情報:
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Preface
Book 1. Varieties in Projective Space: Chapter 1. Basic Notions
Chapter II. Local Properties
Chapter III. Divisors and Differential Forms
Chapter IV. Intersection Numbers
Algebraic Appendix
References
Index
Preface
Book 1. Varieties in Projective Space: Chapter 1. Basic Notions
Chapter II. Local Properties
98.
EB
by Askold Khovanskii
目次情報:
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Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
1.4 Action of a k-Solvable Group and Representability by k-Radicals
1.5 Galois Equations
1.6 Automorphisms Connected with a Galois Equation
1.7 The Fundamental Theorem of Galois Theory
1.8 A Criterion for Solvability of Equations by Radicals
1.9 A Criterion for Solvability of Equations by k-Radicals
1.10 Unsolvability of Complicated Equations by Solving Simpler Equations
1.11 Finite Fields
Chapter 2 Coverings: 2.1 Coverings over Topological Spaces
2.2 Completion of Finite Coverings over Punctured Riemann Surfaces
Chapter 3 Ramified Coverings and Galois Theory: 3.1 Finite Ramified Coverings and Algebraic Extensions of Fields of Meromorphic Functions
3.2 Geometry of Galois Theory for Extensions of a Field of Meromorphic Functions
References
Index
Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
99.
EB
edited by Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
目次情報:
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C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras
D. Happel: Algebras of finite global dimension
K. Igusa (with G. Todorov): Continuous Frobenius categories
D.A. Jorgensen: Triangle functors from generic hypersurfaces
Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian
H. Krause: Morphisms determined by objects in triangulated categories
P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories
J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories
C.M. Ringel: Distinguished bases of exceptional modules
A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories
D. Speyer and H. Thomas: Acyclic cluster algebras revisited
H. Thomas and D. Speyer: Acyclic cluster algebras revisited
G. Todorov and K. Igusa: Continuous Frobenius categories
L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian
D. Zacharia and D. Happel: Algebras of finite global dimension
C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
100.
EB
by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro
目次情報:
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1 Variational principle for three-dimensional steady-state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French)
4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid
5 On the topology of three-dimensional steady flows of an ideal fluid
6 On an a priori estimate in the theory of hydrodynamical stability
7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids
8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability
9 Characteristic class entering in quantization conditions
10 A note on Weierstrass auxiliary theorem
11 A letter to the editors (in Russian)
12 The stability problem and ergodic properties for classical dynamical systems
13 Remark on the branching of hyperelliptic integrals as functions of the parameters
14 Singularities of smooth mappings
15 Braids of algebraic functions and the cohomology of swallowtails
16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid
17 Remarks on singularities of finite codimension in complex dynamical systems
18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems
19 The cohomology ring of the colored braid group
20 Trivial problems
21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations
22 Local Problems of Analysis
23 Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (in Russian)
24 On some topological invariants of algebraic functions
25 Topological invariants of algebraic functions II
26 Algebraic unsolvability of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations
27 On matrices depending on parameters
28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms
29 Versal families and bifurcations of differential equations (in Russian)
30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field
31 Lectures on bifurcations in versal families
32 The topology of real algebraic curves (in Russian)
33 The asymptotic Hopf invariant and its applications
34 Magnetic field in a moving conducting fluid
35 A magnetic field in a stationary flow with stretching in a Riemannian space
36 The large-scale structure of the universe I. General properties. One- and two-dimensional models
37 Elements of the large-scale structure of the universe
38 Some remarks on the antidynamo theorem
39 Steady-state magnetic field in a periodic flow
40 Evolution of a magnetic field under the action of transfer and diffusion
41 The growth of a magnetic field in a three-dimensional steady incompressible fluid
42 Evolution of a magnetic field under the action of drift and diffusion (in Russian)
43 Exponential scattering of trajectories and its hydrodynamical applications
44 Kolmogorov's hydrodynamic attractors
45 Topological methods in hydrodynamics
46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English)
47 Translator's Preface to J. Milnor's book "Morse Theory"
48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments
49 Comments on the paper "On a geometric theorem" by Henri Poincaré
1 Variational principle for three-dimensional steady-state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French)