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