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1.

電子ブック

EB
edited by Jan de Gier, Cheryl E. Praeger, Terence Tao
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: MATRIX Book Series ; 3
オンライン: https://doi.org/10.1007/978-3-030-38230-8
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Non-Equilibrium Systems and Special Functions
Algebraic Geometry, Approximation and Optimisation
On the Frontiers of High Dimensional Computation
Month of Mathematical Biology
Dynamics, Foliations, and Geometry In Dimension 3
Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type
Functional Data Analysis and Beyond
Geometric and Categorical Representation Theory
Non-Equilibrium Systems and Special Functions
Algebraic Geometry, Approximation and Optimisation
On the Frontiers of High Dimensional Computation
2.

電子ブック

EB
by Kunihiko Kodaira
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-981-15-7380-4
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Foreword
Preface
Introduction (Purposes and Known Results)
Chapter: 1 Fundamentals of Algebraic Surfaces
Chapter 2: Pluri-canonical Systems on Algebraic Surfaces of General
Bibliography
Foreword
Preface
Introduction (Purposes and Known Results)
3.

電子ブック

EB
by Serge Lvovski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Moscow Lectures ; 6
オンライン: https://doi.org/10.1007/978-3-030-59365-0
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Introduction
Preliminaries
Derivatives of functions of complex variable
Practicing conformal mappings
Integrals of functions of complex variable
Cauchy theorem and its consequences
Homotopy and analytic continuation
Laurent series and singular points
Residues
Local properties of holomorphic functions
Conformal mappings I
Infinite sums and products
Conformal mappings II
Introduction to Riemann surfaces
Introduction
Preliminaries
Derivatives of functions of complex variable
4.

電子ブック

EB
by Jean-Benoît Bost
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Progress in Mathematics ; 334
オンライン: https://doi.org/10.1007/978-3-030-44329-0
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Introduction
Hermitian vector bundles over arithmetic curves
θ-Invariants of Hermitian vector bundles over arithmetic curves
Geometry of numbers and θ-invariants
Countably generated projective modules and linearly compact Tate spaces over Dedekind rings
Ind- and pro-Hermitian vector bundles over arithmetic curves
θ-Invariants of infinite dimensional Hermitian vector bundles: denitions and first properties
Summable projective systems of Hermitian vector bundles and niteness of θ-invariants
Exact sequences of infinite dimensional Hermitian vector bundles and subadditivity of their θ-invariants
Infinite dimensional vector bundles over smooth projective curves
Epilogue: formal-analytic arithmetic surfaces and algebraization
Appendix A. Large deviations and Cramér's theorem
Appendix B. Non-complete discrete valuation rings and continuity of linear forms on prodiscrete modules
Appendix C. Measures on countable sets and their projective limits
Appendix D. Exact categories
Appendix E. Upper bounds on the dimension of spaces of holomorphic sections of line bundles over compact complex manifolds
Appendix F. John ellipsoids and finite dimensional normed spaces
Introduction
Hermitian vector bundles over arithmetic curves
θ-Invariants of Hermitian vector bundles over arithmetic curves
5.

電子ブック

EB
by Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: RSME Springer Series ; 5
オンライン: https://doi.org/10.1007/978-3-030-48826-0
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6.

電子ブック

EB
edited by José Luis Cisneros Molina, Dũng Tráng Lê, José Seade
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-53061-7
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Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
2 The Topology of Surface Singularities
3 Resolution of Singularities: an Introduction
4 Stratification Theory
5 Morse Theory, Stratification and Sheaves
6 The Topology of the Milnor Fibration
7 Deformation and Smoothing of Singularities
8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities
9 The Lefschetz Theorem for Hyperplane Sections
10 Finite Dimensional Lie Algebras in Singularities. -Index
Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
7.

電子ブック

EB
edited by Spiro Karigiannis, Naichung Conan Leung, Jason D. Lotay
出版情報: New York, NY : Springer US : Imprint: Springer, 2020
シリーズ名: Fields Institute Communications ; 84
オンライン: https://doi.org/10.1007/978-1-0716-0577-6
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Part I
Introduction to G2 Geometry (S. Karigiannis)
Constructions of Compact G2-Holonomy Manifolds (A. Kovalev)
Calibrated Submanifolds (J.D. Lotay)
Calibrated Submanifolds in G2 Geometry (K.F. Chan, N.C. Leung)
Geometric Flows of G2 Structures (J.D. Lotay)
Part II
Distinguishing G2-Manifolds (D. Crowley, S. Goette, J. Nordstrom)
Gravitational Instantons and Degenerations of Ricci-flat Matrics on the K3 Surface (L. Foscolo)
Frolicher-Nijenhuis Bracket on Manifolds with Special Holonomy (K. Kawai, H.V. Le, L. Schwachhofer)
Distinguished G2-Structures on Solvmanifolds (J. Lauret)
On G2-Structures, Special Metrics, and Related Flows (M. Fernandez, A. Fino, A. Raffero)
Laplacian Flow for Closed G2 Structures (Y. Wei)
Flows of Co-Closed Gw-Structers (S. Grigorian)
G2-Instantons on Noncompact G2-Manifolds (J.D. Lotay, G. Oliveira)
Current Progress on G2-Instantons Over Twisted Connected Sums (H. Sa Earp)
Complex and Calibrated Geometry (K. Moore)
Deformations of Calibrated Submanifolds with Boundary (A. Kovalev)
Part I
Introduction to G2 Geometry (S. Karigiannis)
Constructions of Compact G2-Holonomy Manifolds (A. Kovalev)
8.

電子ブック

EB
edited by Elisabetta Colombo, Barbara Fantechi, Paola Frediani, Donatella Iacono, Rita Pardini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer INdAM Series ; 39
オンライン: https://doi.org/10.1007/978-3-030-37114-2
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1 E. Amerik, Negative rational curves and their deformations on hyperkähler manifolds
2 C. Camere, Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds
3 C. Ciliberto et al., A note on Severi varieties of nodal curves on Enriques surfaces
4 E. Floris and V. Lazic, A travel Guide to the canonical bundle Formula
5 A.-S. Kaloghiros, Some examples of Calabi-Yau pairs with maximal intersection and no toric model
6 E. Lepri and M. Manetti, On Deformations of diagrams of commutative Algebras
7 C. Lozano Huerta and A. Massarenti, The Lefschetz principle in birational geometry: birational twin variety
8 L. Lunardon, What is the monodromy property for degenerations of Calabi-Yau varieties?
9 A. Perego, Examples of irreducible symplectic varieties
10 A. Petracci, An example of Mirror Symmetry for Fano threefolds
11 S. Schreieder and L. Tasin, Chern numbers of uniruled threefolds
1 E. Amerik, Negative rational curves and their deformations on hyperkähler manifolds
2 C. Camere, Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds
3 C. Ciliberto et al., A note on Severi varieties of nodal curves on Enriques surfaces
9.

電子ブック

EB
by Vincent Cossart, Uwe Jannsen, Shuji Saito
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2270
オンライン: https://doi.org/10.1007/978-3-030-52640-5
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10.

電子ブック

EB
edited by Bhargav Bhatt, Martin Olsson
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Simons Symposia ;
オンライン: https://doi.org/10.1007/978-3-030-43844-9
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Notes on the Ainf-cohomology of Integral p-adic Hodge theory (M. Morrow)
On the cohomology of the affine space (P. Colmez, W. Nizioł)
Arithmetic Chern-Simons Theory II (H.-J. Chung, D. Kim, M. Kim, J. Park, H. Yoo)
Some ring-theoretic properties of Ainf (K.S. Kedlaya)
Sure une q-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive (M. Gros)
Crystalline Zp-representations and Ainf-representations with Frobenius (T. Tsuji)
Notes on the Ainf-cohomology of Integral p-adic Hodge theory (M. Morrow)
On the cohomology of the affine space (P. Colmez, W. Nizioł)
Arithmetic Chern-Simons Theory II (H.-J. Chung, D. Kim, M. Kim, J. Park, H. Yoo)