2013

Commutative Algebra

Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday

Editors:

ISBN: 978-1-4614-5291-1 (Print) 978-1-4614-5292-8 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-viii

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    Book Chapter

    Pages 1-23

    Lazarsfeld–Mukai Bundles and Applications

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    Book Chapter

    Pages 25-56

    Some Applications of Commutative Algebra to String Theory

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    Book Chapter

    Pages 57-97

    Measuring Singularities with Frobenius: The Basics

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    Book Chapter

    Pages 99-121

    Three Flavors of Extremal Betti Tables

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    Book Chapter

    Pages 123-205

    p −1-Linear Maps in Algebra and Geometry

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    Book Chapter

    Pages 207-236

    Castelnuovo–Mumford Regularity of Annihilators, Ext and Tor Modules

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    Book Chapter

    Pages 237-284

    Selections from the Letter-Place Panoply

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    Book Chapter

    Pages 285-315

    Koszul Algebras and Regularity

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    Book Chapter

    Pages 317-333

    Powers of Ideals: Betti Numbers, Cohomology and Regularity

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    Book Chapter

    Pages 335-371

    Some Homological Properties of Modules over a Complete Intersection, with Applications

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    Book Chapter

    Pages 373-392

    Powers of Square-Free Monomial Ideals and Combinatorics

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    Book Chapter

    Pages 393-417

    A Brief History of Order Ideals

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    Book Chapter

    Pages 419-469

    Moduli of Abelian Varieties, Vinberg θ-Groups, and Free Resolutions

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    Book Chapter

    Pages 471-484

    F-Purity, Frobenius Splitting, and Tight Closure

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    Book Chapter

    Pages 485-525

    Hilbert–Kunz Multiplicity and the F-Signature

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    Book Chapter

    Pages 527-550

    Pure O-Sequences: Known Results, Applications, and Open Problems

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    Book Chapter

    Pages 551-576

    Bounding Projective Dimension

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    Book Chapter

    Pages 577-592

    Brauer–Thrall Theory for Maximal Cohen–Macaulay Modules

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    Book Chapter

    Pages 593-607

    Tight Closure’s Failure to Localize - a Self-Contained Exposition

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    Book Chapter

    Pages 609-638

    Introduction to the Hyperdeterminant and to the Rank of Multidimensional Matrices

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