eBook ISBN:  9780821877500 
Product Code:  CONM/159.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877500 
Product Code:  CONM/159.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 159; 1994; 444 ppMSC: Primary 13; Secondary 14
This volume contains refereed papers on themes explored at the AMSIMSSIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of onehour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra.
ReadershipMathematicians interested in commutative algebra and its applications.

Table of Contents

Articles

Luchezar L. Avramov and HansBjørn Foxby — Grothendieck’s localization problem [ MR 1266174 ]

Frederick Call and Gennady Lyubeznik — A simple proof of Grothendieck’s theorem on the parafactoriality of local rings [ MR 1266175 ]

Hara Charalambous and E. Graham Evans, Jr. — Resolutions with a given Hilbert function [ MR 1266176 ]

Steven Dale Cutkosky — Complete ideals in algebra and geometry [ MR 1266177 ]

J. Elias, A. V. Geramita and G. Valla — On the CohenMacaulay type of perfect ideals [ MR 1266178 ]

Shiro Goto and Yukio Nakamura — On the Gorensteinness of graded rings associated to ideals of analytic deviation one [ MR 1266179 ]

William J. Heinzer, David Lantz and Sylvia M. Wiegand — Prime ideals in birational extensions of polynomial rings [ MR 1266180 ]

Jürgen Herzog — On the index of a homogeneous Gorenstein ring [ MR 1266181 ]

Melvin Hochster — Solid closure [ MR 1266182 ]

Melvin Hochster — Tight closure in equal characteristic, big CohenMacaulay algebras, and solid closure [ MR 1266183 ]

Melvin Hochster and Craig Huneke — Indecomposable canonical modules and connectedness [ MR 1266184 ]

D. Kirby and D. Rees — Multiplicities in graded rings. I. The general theory [ MR 1266185 ]

Andrew R. Kustin — Pfaffian identities, with applications to free resolutions, DGalgebras, and algebras with straightening law [ MR 1266186 ]

Joseph Lipman — Proximity inequalities for complete ideals in twodimensional regular local rings [ MR 1266187 ]

Uwe Nagel and Peter Schenzel — Cohomological annihilators and CastelnuovoMumford regularity [ MR 1266188 ]

K. N. Raghavan — Localglobal principle for annihilation of local cohomology [ MR 1266189 ]

Paul C. Roberts — Multiplicities and Chern classes [ MR 1266190 ]

Paul C. Roberts — A computation of local cohomology [ MR 1266191 ]

Hema Srinivasan — Algebra structures for graded free resolutions [ MR 1266192 ]

Irena Swanson — Primary decompositions of powers of ideals [ MR 1266193 ]

Bernd Ulrich — ArtinNagata properties and reductions of ideals [ MR 1266194 ]

Wolmer V. Vasconcelos — Hilbert functions, analytic spread, and Koszul homology [ MR 1266195 ]

Keiichi Watanabe — Infinite cyclic covers of strongly $F$regular rings [ MR 1266196 ]

Roger Wiegand — Torsion in Picard groups of affine rings [ MR 1266197 ]


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This volume contains refereed papers on themes explored at the AMSIMSSIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of onehour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra.
Mathematicians interested in commutative algebra and its applications.

Articles

Luchezar L. Avramov and HansBjørn Foxby — Grothendieck’s localization problem [ MR 1266174 ]

Frederick Call and Gennady Lyubeznik — A simple proof of Grothendieck’s theorem on the parafactoriality of local rings [ MR 1266175 ]

Hara Charalambous and E. Graham Evans, Jr. — Resolutions with a given Hilbert function [ MR 1266176 ]

Steven Dale Cutkosky — Complete ideals in algebra and geometry [ MR 1266177 ]

J. Elias, A. V. Geramita and G. Valla — On the CohenMacaulay type of perfect ideals [ MR 1266178 ]

Shiro Goto and Yukio Nakamura — On the Gorensteinness of graded rings associated to ideals of analytic deviation one [ MR 1266179 ]

William J. Heinzer, David Lantz and Sylvia M. Wiegand — Prime ideals in birational extensions of polynomial rings [ MR 1266180 ]

Jürgen Herzog — On the index of a homogeneous Gorenstein ring [ MR 1266181 ]

Melvin Hochster — Solid closure [ MR 1266182 ]

Melvin Hochster — Tight closure in equal characteristic, big CohenMacaulay algebras, and solid closure [ MR 1266183 ]

Melvin Hochster and Craig Huneke — Indecomposable canonical modules and connectedness [ MR 1266184 ]

D. Kirby and D. Rees — Multiplicities in graded rings. I. The general theory [ MR 1266185 ]

Andrew R. Kustin — Pfaffian identities, with applications to free resolutions, DGalgebras, and algebras with straightening law [ MR 1266186 ]

Joseph Lipman — Proximity inequalities for complete ideals in twodimensional regular local rings [ MR 1266187 ]

Uwe Nagel and Peter Schenzel — Cohomological annihilators and CastelnuovoMumford regularity [ MR 1266188 ]

K. N. Raghavan — Localglobal principle for annihilation of local cohomology [ MR 1266189 ]

Paul C. Roberts — Multiplicities and Chern classes [ MR 1266190 ]

Paul C. Roberts — A computation of local cohomology [ MR 1266191 ]

Hema Srinivasan — Algebra structures for graded free resolutions [ MR 1266192 ]

Irena Swanson — Primary decompositions of powers of ideals [ MR 1266193 ]

Bernd Ulrich — ArtinNagata properties and reductions of ideals [ MR 1266194 ]

Wolmer V. Vasconcelos — Hilbert functions, analytic spread, and Koszul homology [ MR 1266195 ]

Keiichi Watanabe — Infinite cyclic covers of strongly $F$regular rings [ MR 1266196 ]

Roger Wiegand — Torsion in Picard groups of affine rings [ MR 1266197 ]