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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 |
Our price: |
£34.87 |
Discount: |
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You save:
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£1.08 |
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ISBN 10: |
082180412X |
ISBN 13: |
9780821804124 |
Availability: |
Publisher out of stock. This item may be subject to delays or cancellation.
Delivery
rates
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Stock: |
Currently 0 available |
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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