000 04249nam a22004455i 4500
001 978-1-4614-5292-8
003 DE-He213
005 20140220082819.0
007 cr nn 008mamaa
008 130202s2013 xxu| s |||| 0|eng d
020 _a9781461452928
_9978-1-4614-5292-8
024 7 _a10.1007/978-1-4614-5292-8
_2doi
050 4 _aQA251.3
072 7 _aPBF
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.44
_223
100 1 _aPeeva, Irena.
_eeditor.
245 1 0 _aCommutative Algebra
_h[electronic resource] :
_bExpository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday /
_cedited by Irena Peeva.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aVIII, 707 p. 31 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aMarian 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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aCommutative Rings and Algebras.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aAssociative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461452911
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5292-8
912 _aZDB-2-SMA
999 _c95370
_d95370