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LEADER: 04099nam a22004335a 4500
001 014157903-X
005 20141003190319.0
008 130202s2013 xxu| o ||0| 0|eng d
020 $a9781461452928
020 $a9781461452911 (ebk.)
020 $a9781461452928
020 $a9781461452911
024 7 $a10.1007/978-1-4614-5292-8$2doi
035 $a(Springer)9781461452928
040 $aSpringer
050 4 $aQA251.3
072 7 $aMAT002010$2bisacsh
072 7 $aPBF$2bicssc
082 04 $a512.44$223
100 1 $aPeeva, Irena,$eeditor.
245 10 $aCommutative Algebra :$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 :$bSpringer,$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 20 $aGeometry, Algebraic.
650 10 $aMathematics.
650 0 $aAlgebra.
650 0 $aGeometry, algebraic.
650 0 $aMathematics.
650 24 $aAssociative Rings and Algebras.
650 24 $aCommutative Rings and Algebras.
776 08 $iPrinted edition:$z9781461452911
988 $a20140910
906 $0VEN