Commutative Algebra Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday /
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 Geomet...
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| Format: | Electronic |
| Language: | English |
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New York, NY :
Springer New York : Imprint: Springer,
2013.
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-5292-8 |
Table of Contents:
- 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.