TY  - BOOK
AU  - Huneke,Craig
TI  - Tight closure and its applications
SN  - 082180412X
U1  - 512.4 
PY  - 2000///
CY  - New York
PB  - American Mathematical Society
KW  - Commutative rings
KW  - Complexes
KW  - Anneaux commutatifs
N1  - 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
ER  -