| Description |
1 online resource |
| Contents |
Lazarsfeld-Mukai Bundles and Applications / Marian Aprodu -- Some Applications of Commutative Algebra to String Theory / Paul S. Aspinwall -- Measuring Singularities with Frobenius: The Basics / Angélica Benito, Eleonore Faber, Karen E. Smith -- Three Flavors of Extremal Betti Tables / Christine Berkesch, Daniel Erman, Manoj Kummini -- p -1-Linear Maps in Algebra and Geometry / Manuel Blickle, Karl Schwede -- Castelnuovo-Mumford Regularity of Annihilators, Ext and Tor Modules / Markus Brodmann, Cao Huy Linh, Maria-Helena Seiler -- Selections from the Letter-Place Panoply / David A. Buchsbaum -- Koszul Algebras and Regularity / Aldo Conca, Emanuela De Negri, Maria Evelina Rossi -- Powers of Ideals: Betti Numbers, Cohomology and Regularity / Marc Chardin -- Some Homological Properties of Modules over a Complete Intersection, with Applications / Hailong Dao -- Powers of Square-Free Monomial Ideals and Combinatorics / Christopher A. Francisco, Huy Tài Hà, Jeffrey Mermin |
|
A Brief History of Order Ideals / E. Graham Evans, Phillip Griffith -- Moduli of Abelian Varieties, Vinberg [theta]-Groups, and Free Resolutions / Laurent Gruson, Steven V. Sam, Jerzy Weyman -- F-Purity, Frobenius Splitting, and Tight Closure / Melvin Hochster -- Hilbert-Kunz Multiplicity and the F-Signature / Craig Huneke -- Pure O-Sequences: Known Results, Applications, and Open Problems / Juan Migliore, Uwe Nagel, Fabrizio Zanello -- Bounding Projective Dimension / Jason McCullough, Alexandra Seceleanu -- Brauer-Thrall Theory for Maximal Cohen-Macaulay Modules / Graham J. Leuschke, Roger Wiegand -- Tight Closure's Failure to Localize -- a Self-Contained Exposition / Paul Monsky -- Introduction to the Hyperdeterminant and to the Rank of Multidimensional Matrices / Giorgio Ottaviani -- Commutative Algebra of Subspace and Hyperplane Arrangements / Hal Schenck, Jessica Sidman -- Cohomological Degrees and Applications / Wolmer V. Vasconcelos |
| Summary |
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 |
| Analysis |
Mathematics |
|
Algebra |
|
Commutative Rings and Algebras |
|
Algebraic Geometry |
|
Associative Rings and Algebras |
| Bibliography |
Includes bibliographical references |
| Subject |
Commutative algebra.
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
|
Álgebra conmutativa
|
|
Commutative algebra
|
|
Kommutative Algebra
|
| Genre/Form |
Festschriften
|
|
Festschriften.
|
| Form |
Electronic book
|
| Author |
Peeva, Irena.
|
| ISBN |
9781461452928 |
|
1461452929 |
|
