000 06438cam a2200841Ii 4500
001 ocn795120008
003 OCoLC
005 20210822113957.0
006 m d
007 cr cnu---unuuu
008 120611s2012 gw a ob 001 0 eng d
040 _aEBLCP
_beng
_erda
_cEBLCP
_dOCLCQ
_dN$T
020 _a9783110250404 (electronic bk.)
020 _a3110250403 (electronic bk.)
020 _z9783110250343 (v. 1 : hardcover : alk. paper)
020 _z3110250349 (v. 1 : hardcover : alk. paper)
020 _z9783112190203 (v. 1 : hardcover + e-book, set)
020 _z3112190203 (v. 1 : hardcover + e-book, set)
035 _a(OCoLC)795120008
035 _a456794
_b(N$T)
072 7 _aQA
_2lcco
072 7 _aMAT
_x002040
_2bisacsh
082 0 4 _a512
_223
049 _aN$TA
245 0 0 _aProgress in commutative algebra
_n1,
_pcombinatorics and homology /
_cedited by Sean Sather-Wagstaff ... [and others].
246 3 0 _aCombinatorics and homology
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2012]
264 4 _c©2012
300 _a1 online resource :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aDe Gruyter Proceedings in Mathematics
504 _aIncludes bibliographical references and index.
505 0 _aPreface; Boij-Sèoderberg Theory: Introduction and Survey; 1 The Boij-Sèoderberg Conjectures; 1.1 Resolutions and Betti Diagrams; 1.2 The Positive Cone of Betti Diagrams; 1.3 Herzog-Kèuhl Equations; 1.4 Pure resolutions; 1.5 Linear Combinations of Pure Diagrams; 1.6 The Boij-Sèoderberg Conjectures; 1.7 Algorithmic Interpretation; 1.8 Geometric Interpretation; 2 The Exterior Facets of the Boij-Sèoderberg Fan and Their Supporting Hyperplanes; 2.1 The Exterior Facets; 2.2 The Supporting Hyperplanes; 2.3 Pairings of Vector Bundles and Resolutions.
505 8 _a3 The Existence of Pure Free Resolutions and of Vector Bundles with Supernatural Cohomology3.1 The Equivariant Pure Free Resolution; 3.2 Equivariant Supernatural Bundles; 3.3 Characteristic Free Supernatural Bundles; 3.4 The Characteristic Free Pure Resolutions; 3.5 Pure Resolutions Constructed from Generic Matrices; 4 Cohomology of Vector Bundles on Projective Spaces; 4.1 Cohomology Tables; 4.2 The Fan of Cohomology Tables of Vector Bundles; 4.3 Facet Equations; 5 Extensions to Non-Cohen-Macaulay Modules and to Coherent Sheaves; 5.1 Betti Diagrams of Graded Modules in General.
505 8 _a5.2 Cohomology of Coherent Sheaves6 Further Topics; 6.1 The Semigroup of Betti Diagrams of Modules; 6.2 Variations on the Grading; 6.3 Poset Structures; 6.4 Computer Packages; 6.5 Three Basic Problems; Hilbert Functions of Fat Point Subschemes of the Plane: the Two-fold Way; 1 Introduction; 2 Approach I: Nine Double Points; 3 Approach I: Points on Cubics; 4 Approach II: Points on Cubics; Edge Ideals: Algebraic and Combinatorial Properties; 1 Introduction; 2 Algebraic and Combinatorial Properties of Edge Ideals; 3 Invariants of Edge Ideals: Regularity, Projective Dimension, Depth.
505 8 _a4 Stability of Associated PrimesThree Simplicial Resolutions; 1 Introduction; 2 Background and Notation; 2.1 Algebra; 2.2 Combinatorics; 3 The Taylor Resolution; 4 Simplicial Resolutions; 5 The Scarf Complex; 6 The Lyubeznik Resolutions; 7 Intersections; 8 Questions; A Minimal Poset Resolution of Stable Ideals; 1 Introduction; 2 Poset Resolutions and Stable Ideals; 3 The Shellability of PN; 4 The topology of PN and properties of D (PN); 5 Proof of Theorem 2.4; 6 A Minimal Cellular Resolution of R/N; Subsets of Complete Intersections and the EGH Conjecture; 1 Introduction.
505 8 _a2 Preliminary Definitions and Results2.1 The Eisenbud-Green-Harris Conjecture and Complete Intersections; 2.2 Some Enumeration; 3 Rectangular Complete Intersections; 4 Some Key Tools; 4.1 Pairs of Hilbert Functions and Maximal Growth; 4.2 Ideals Containing Regular Sequences; 5 Subsets of Complete Intersections in P2; 6 Subsets of C.I. (2, d2,d3) with d2 = d3; 7 Subsets of C.I. (3, d2, d3) with d3 = d2; 8 An Application: The Cayley-Bacharach Property; The Homological Conjectures; 1 Introduction; 2 The Serre Multiplicity Conjectures; 2.1 The Vanishing Conjecture.
500 _a2.2 Gabber's Proof of the Nonnegativity Conjecture.
520 _aThis is the first of two volumes of a state-of-the-art survey article collection which emanates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University meeting. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. The current trends in two of the most active areas of commutative algebra are presented: non-noetherian rings (factorization, ideal theory, integrality), advances from the homological study of noetherian rings (the lo.
588 _aDescription based on print version record.
650 0 _aCommutative algebra.
_94644
650 4 _aAlgebra.
_94645
650 4 _aCommutative algebra.
_94644
650 4 _aMathematics.
650 7 _aMATHEMATICS / Algebra / Intermediate
_2bisacsh
_94646
655 4 _aElectronic books.
_9313
700 1 _aSather-Wagstaff, Sean.
_94647
700 1 _aVillarreal Rodrâiguez, Rafael Heraclio.
_94648
700 1 _aYao, Yongwei.
_94649
700 1 _aFl²ystad, Gunnar.
_94650
700 1 _aMermin, Jeff.
_94651
700 1 _aGeramita, Anthony V.
_94652
700 1 _aRoberts, Paul C.
_94653
700 1 _aMorey, Susan.
_94654
700 1 _aVassilev, Janet C.
_94655
700 1 _aFrancisco, Christopher.
_94656
700 1 _aClark, Timothy B. P.
_94657
700 1 _aHummel, Livia.
_94658
700 1 _aKlingler, Lee C.
_94659
700 1 _aHarbourne, Brian.
_94660
700 1 _aCooper, Susan M.
_94661
700 1 _aLeuschke, Graham J.
_94662
700 1 _aMigliore, Juan C.
_94663
776 0 8 _iPrint version:
_tProgress in commutative algebra 1, combinatorics and homology.
_dBerlin ; Boston : De Gruyter, c2012
_z9783110250343
830 0 _aGruyter Proceedings in Mathematics.
_94664
856 4 0 _3EBSCOhost
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=456794
938 _aEBL - Ebook Library
_bEBLB
_nEBL913268
910 _acpp5325
942 _cEBK
994 _a02
_bN$T
999 _c900
_d900