000 | 06438cam a2200841Ii 4500 | ||
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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$T |
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020 | _a9783110250404 (electronic bk.) | ||
020 | _a3110250403 (electronic bk.) | ||
020 | _z9783110250343 (v. 1 : hardcover : alk. paper) | ||
020 | _z3110250349 (v. 1 : hardcover : alk. paper) | ||
020 | _z9783112190203 (v. 1 : hardcover + e-book, set) | ||
020 | _z3112190203 (v. 1 : hardcover + e-book, set) | ||
035 | _a(OCoLC)795120008 | ||
035 |
_a456794 _b(N$T) |
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072 | 7 |
_aQA _2lcco |
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072 | 7 |
_aMAT _x002040 _2bisacsh |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 4 |
_aAlgebra. _94645 |
|
650 | 4 |
_aCommutative algebra. _94644 |
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650 | 4 | _aMathematics. | |
650 | 7 |
_aMATHEMATICS / Algebra / Intermediate _2bisacsh _94646 |
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655 | 4 |
_aElectronic books. _9313 |
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700 | 1 |
_aSather-Wagstaff, Sean. _94647 |
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700 | 1 |
_aVillarreal Rodrâiguez, Rafael Heraclio. _94648 |
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700 | 1 |
_aYao, Yongwei. _94649 |
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700 | 1 |
_aFl²ystad, Gunnar. _94650 |
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700 | 1 |
_aMermin, Jeff. _94651 |
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700 | 1 |
_aGeramita, Anthony V. _94652 |
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700 | 1 |
_aRoberts, Paul C. _94653 |
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700 | 1 |
_aMorey, Susan. _94654 |
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700 | 1 |
_aVassilev, Janet C. _94655 |
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700 | 1 |
_aFrancisco, Christopher. _94656 |
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700 | 1 |
_aClark, Timothy B. P. _94657 |
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700 | 1 |
_aHummel, Livia. _94658 |
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700 | 1 |
_aKlingler, Lee C. _94659 |
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700 | 1 |
_aHarbourne, Brian. _94660 |
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700 | 1 |
_aCooper, Susan M. _94661 |
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700 | 1 |
_aLeuschke, Graham J. _94662 |
|
700 | 1 |
_aMigliore, Juan C. _94663 |
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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 |
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910 | _acpp5325 | ||
942 | _cEBK | ||
994 |
_a02 _bN$T |
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999 |
_c900 _d900 |