Contemporary Mathematics 1994; 444 pp; softcover Volume: 159 ISBN10: 0821851888 ISBN13: 9780821851883 List Price: US$78 Member Price: US$62.40 Order Code: CONM/159
 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. Readership Mathematicians interested in commutative algebra and its applications. Table of Contents  L. L. Avramov and H.B. Foxby  Grothendieck's localization problem
 F. Call and G. Lyubeznik  A simple proof of Grothendieck's theorem on the parafactoriality of local rings
 H. Charalambous and E. G. Evans, Jr.  Resolutions with a given Hilbert function
 S. D. Cutkosky  Complete ideals in algebra and geometry
 J. Elias, A. V. Geramita, and G. Valla  On the CohenMacaulay type of perfect ideals
 S. Goto and Y. Nakamura  On the Gorensteinness of graded rings associated to ideals of analytic deviation one
 W. J. Heinzer, D. Lantz, and S. M. Wiegand  Prime ideals in birational extensions of polynomial rings
 J. Herzog  On the index of a homogeneous Gorenstein ring
 M. Hochster  Solid closure
 M. Hochster  Tight closure in equal characteristic, big CohenMacaulay algebras, and solid closure
 M. Hochster and C. Huneke  Indecomposable canonical modules and connectedness
 K. Kirby and D. Rees  Multiplicities in graded rings I: The general theory
 A. R. Kustin  Pfaffian identities, with applications to free resolutions, DG algebras, and algebras with straightening law
 J. Lipman  Proximity inequalities for complete ideals in twodimensional regular local rings
 U. Nagel and P. Schenzel  Cohomological annihilators and CastelnuovoMumford regularity
 K. N. Raghavan  Localglobal principle for annihilation of local cohomology
 P. C. Roberts  Multiplicities and Chern classes
 P. C. Roberts  A computation of local cohomology
 H. Srinivasan  Algebra structures for graded free resolutions
 I. Swanson  Primary decompositions of powers of ideals
 B. Ulrich  ArtinNagata properties and reductions of ideals
 W. V. Vasconcelos  Hilbert functions, analytic spread, and Koszul homology
 K.I. Watanabe  Infinite cyclic covers of strongly \(F\)regular rings
 R. Wiegand  Torsion in Picard groups of affine rings
