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1.

電子ブック
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1. Graded Syzygies
by Irena Peeva
出版情報: London : Springer-Verlag London Limited, 2011
シリーズ名: Algebra and Applications ; 14
オンライン: http://dx.doi.org/10.1007/978-0-85729-177-6
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2.

電子ブック
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2. Commutative Algebra : Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday
edited by Irena Peeva
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-5292-8
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目次情報: 続きを見る
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
3.

電子ブック
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3. Commutative Algebra : Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday. 1st ed. 2021
edited by Irena Peeva
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-89694-2
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目次情報: 続きを見る
1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt)
2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo)
3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck)
4. The Simplest Minimal Free Resolutions in P1 x P1 (W. Bruns, A. Conca, M. Varbaro)
5.The Eisenbud-Green-Harris Conjecture (G. Caviglia, A. De Stefani, E. Sbarra)
6. Fibers of Rational Maps and Elimination Matrices (M. Chardin, L. Buse)
7. Three Takes on Almost Complete Intersection Ideals of Grade 3 (L.W. Christensen, O. Veliche, J. Weyman)
8. Stickelberger and the Eigenvalue Theorem (D.A. Cox)
9. Multiplicities and Mixed Multiplicities of Filtrations (S.D. Cutkosky, H. Srinivasan)
10. Stanley-Reisner Rings (R. Froberg)
11. Symbolic Rees Algebras (E. Grifo, A. Seceleanu)
12. The Alexander-Hirschowitz Theorem and Related Problems (H. Tai Ha, P. Mantero)
13. Depth Functions and Symbolic Depth Functions of Homogeneous Ideals (H. Tai Ha, N.V. Trung)
14. Algebraic Geometry, Commutative Algebra, and Combinatorics (B. Harbourne)
15. Maximal Cohen-Macaulay Complexes and Their Uses (S.B. Iyengar, L. Ma, K. Schwede, M.E. Walker)
16. Subadditivity of Syzygies of Ideals and Related Problems (J. McCullough)
17. Applications of Liaison (J. Migliore, U. Nagel)
18. Survey on Regularity of Symbolic Powers of an Edge Ideal (N.C. Minh, T. Vu)
19. Applications of Differential Graded Algebra Techniques in Commutative Algebra (S. Nasseh, S.K. Sather-Wagstaff)
20. Regularity Bounds by Projection (W. Niu)
21. The Zariski-Riemann Space of Valuation Rings (B. Olberding)
22. Rational Points and Trace Forms on a Finite Algebra Over a Real Closed Field (D.P. Patil, J.K. Verma)
23. Diagrams in Commutative Algebra (I. Peeva)
24. Hermite Reciprocity and Schwartzenberger Bundles (C. Raicu, S.V. Sam)
25. Generation in Module Categories and Derived Categories of Commutative Rings (R. Takahashi)
26. Existence and Constructions of Totally Reflexive Modules (A. Vraciu)
27. Local Cohomology - An Invitation (U. Walther, W. Zhang)
28. Which Properties of Stanley-Reisner Rings and Simplicial Complexes are Topological? (V. Welker)
1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt)
2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo)
3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck)