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Item Details
| Title:
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TIGHT CLOSURE AND ITS APPLICATIONS
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| By: |
Craig Huneke |
| Format: |
Paperback |
| List price:
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£35.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
082180412X |
| ISBN 13: |
9780821804124 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 March, 1996 |
| Series: |
CBMS Regional Conference Series in Mathematics No. 88 |
| Pages: |
137 |
| Description: |
Deals with the theory of tight closure and its applications. This book covers the basic properties of tight closure including various types of singularities such as F-regular and F-rational singularities. It presents basic theorems in the theory including versions of the Briancon-Skoda theorem, and various homological conjectures. |
| Synopsis: |
This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995. Tight closure is a method to study rings of equicharacteristic by using reduction to positive characteristic. In this book, the basic properties of tight closure are covered, including various types of singularities, e.g. F-regular and F-rational singularities. Basic theorems in the theory are presented including versions of the Briancon-Skoda theorem, various homological conjectures, and the Hochster-Roberts/Boutot theorems on invariants of reductive groups. Several applications of the theory are given. These include the existence of big Cohen-Macaulay algebras and various uniform Artin-Rees theorems.It features: the existence of test elements; a study of F-rational rings and rational singularities; basic information concerning the Hilbert-Kunz function, phantom homology, and regular base change for tight closure; and, numerous exercises with solutions. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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