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Tight closure and its applications/ Huneke, Craig

By: Huneke,CraigMaterial type: Text

TextSeries: Regional conference series in mathematics,88Publication details: New York : American Mathematical Society, 2000Description: 1 vol. (ix,137p.) : 26 cmISBN: 082180412X; 9780821804124Subject(s): Commutative rings | Complexes | Anneaux commutatifsDDC classification: 512.4

Contents:

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

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	512.4 HUN/T (Browse shelf(Opens below))	Available		P39424

Total holds: 0

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

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