Huneke,Craig

Tight closure and its applications/ Huneke, Craig - New York : American Mathematical Society, 2000. - 1 vol. (ix,137p.) : 26 cm. - Regional conference series in mathematics,88. .

Contains bibliography.

Introduction
Relationship chart
A prehistory of tight closure
Basic notions
Test elements and the persistence of tight closure
Colon-capturing and direct summands of regular rings
F-rational rings and rational singularities
Integral closure and tight closure
The Hilbert-Kunz multiplicity
Big Cohen-Macaulay algebras
Big Cohen-Macaulay algebras II
Applications of big Cohen-Macaulay algebras
Phantom homology
Uniform Artin-Rees theorems
The localization problem
Regular base change
Appendix 1: The notion of tight closure in equal characteristic zero (by M. Hochster)
Appendix 2: Solutions to the exercises

082180412X 9780821804124


Commutative rings.
Complexes.
Anneaux commutatifs.

512.4 / HUN/T