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Commutative Algebra

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

Editors:

  • Provides an accessible and broad overview to the field of commutative algebra

  • Includes expository contributions written by leaders in the field

  • Accessible to graduate students and researchers who are new to the area

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-viii
  2. Measuring Singularities with Frobenius: The Basics

    • Angélica Benito, Eleonore Faber, Karen E. Smith
    Pages 57-97
  3. Three Flavors of Extremal Betti Tables

    • Christine Berkesch, Daniel Erman, Manoj Kummini
    Pages 99-121
  4. p −1-Linear Maps in Algebra and Geometry

    • Manuel Blickle, Karl Schwede
    Pages 123-205
  5. Castelnuovo–Mumford Regularity of Annihilators, Ext and Tor Modules

    • Markus Brodmann, Cao Huy Linh, Maria-Helena Seiler
    Pages 207-236
  6. Selections from the Letter-Place Panoply

    • David A. Buchsbaum
    Pages 237-284
  7. Koszul Algebras and Regularity

    • Aldo Conca, Emanuela De Negri, Maria Evelina Rossi
    Pages 285-315
  8. Powers of Square-Free Monomial Ideals and Combinatorics

    • Christopher A. Francisco, Huy Tài Hà, Jeffrey Mermin
    Pages 373-392
  9. A Brief History of Order Ideals

    • E. Graham Evans, Phillip Griffith
    Pages 393-417
  10. Moduli of Abelian Varieties, Vinberg θ-Groups, and Free Resolutions

    • Laurent Gruson, Steven V. Sam, Jerzy Weyman
    Pages 419-469
  11. F-Purity, Frobenius Splitting, and Tight Closure

    • Melvin Hochster
    Pages 471-484
  12. Pure O-Sequences: Known Results, Applications, and Open Problems

    • Juan Migliore, Uwe Nagel, Fabrizio Zanello
    Pages 527-550
  13. Bounding Projective Dimension

    • Jason McCullough, Alexandra Seceleanu
    Pages 551-576
  14. Brauer–Thrall Theory for Maximal Cohen–Macaulay Modules

    • Graham J. Leuschke, Roger Wiegand
    Pages 577-592

About this book

This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it  will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

Editors and Affiliations

  • Cornell University, Ithaca, USA

    Irena Peeva

Bibliographic Information

  • Book Title: Commutative Algebra

  • Book Subtitle: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday

  • Editors: Irena Peeva

  • DOI: https://doi.org/10.1007/978-1-4614-5292-8

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-5291-1Published: 31 January 2013

  • Softcover ISBN: 978-1-4899-9907-8Published: 06 March 2015

  • eBook ISBN: 978-1-4614-5292-8Published: 01 February 2013

  • Edition Number: 1

  • Number of Pages: VIII, 707

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Commutative Rings and Algebras, Algebraic Geometry, Associative Rings and Algebras

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access