Overview

This volume contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour 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.

Full Product Details

Author:   William J. Heinzer ,  Judith D. Sally ,  Craig Huneke
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 159
Weight:   0.794kg
ISBN:  

9780821851883

ISBN 10:   0821851888
Pages:   444
Publication Date:   01 January 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Grothendieck's localization problem by L. L. Avramov and H.-B. Foxby A simple proof of Grothendieck's theorem on the parafactoriality of local rings by F. Call and G. Lyubeznik Resolutions with a given Hilbert function by H. Charalambous and E. G. Evans, Jr. Complete ideals in algebra and geometry by S. D. Cutkosky On the Cohen-Macaulay type of perfect ideals by J. Elias, A. V. Geramita, and G. Valla On the Gorensteinness of graded rings associated to ideals of analytic deviation one by S. Goto and Y. Nakamura Prime ideals in birational extensions of polynomial rings by W. J. Heinzer, D. Lantz, and S. M. Wiegand On the index of a homogeneous Gorenstein ring by J. Herzog Solid closure by M. Hochster Tight closure in equal characteristic, big Cohen-Macaulay algebras, and solid closure by M. Hochster Indecomposable canonical modules and connectedness by M. Hochster and C. Huneke Multiplicities in graded rings I: The general theory by K. Kirby and D. Rees Pfaffian identities, with applications to free resolutions, DG -algebras, and algebras with straightening law by A. R. Kustin Proximity inequalities for complete ideals in two-dimensional regular local rings by J. Lipman Cohomological annihilators and Castelnuovo-Mumford regularity by U. Nagel and P. Schenzel Local-global principle for annihilation of local cohomology by K. N. Raghavan Multiplicities and Chern classes by P. C. Roberts A computation of local cohomology by P. C. Roberts Algebra structures for graded free resolutions by H. Srinivasan Primary decompositions of powers of ideals by I. Swanson Artin-Nagata properties and reductions of ideals by B. Ulrich Hilbert functions, analytic spread, and Koszul homology by W. V. Vasconcelos Infinite cyclic covers of strongly $F$-regular rings by K.-I. Watanabe Torsion in Picard groups of affine rings by R. Wiegand.

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