Commutative Algebra (eBook)

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.