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Item Title:

Tight Closure and Its Applications (CBMS Regional Conferen

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Educational & Text Books



Item Condition: New
Current Time:23 Jan 17 00:36:48
Time & Date displayed is forUnited States - EDT
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Price : £33.17 ($41.02)

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Item Specifics - Books ISBN : 082180412X
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33.17 2637134 Title: Tight Closure and Its Applications (CBMS Regional Conference Series in Mathematics) Recommended Retail Price : 20.50 Our Price : 16.87 You Save : 3.63 (18% discount) ISBN : 082180412X Author :
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Title: Tight Closure and Its Applications (CBMS Regional Conference Series in Mathematics)

ISBN : 082180412X
Author : Craig Huneke
Publisher : American Mathematical Society
Media : Paperback
SKU MIX31-U31-4C-JWS2-39265

 

 
Brand New Book, Good Condition, Dispatched from our warehouse in the UK

Book Description&newline;&newline;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. &newline;&newline;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 Brianžon-Skoda theorem, various homological conjectures, and the Hochster-Roberts/Boutot theorems on invariants of reductive groups. &newline;&newline;Several applications of the theory are given. These include the existence of big Cohen-Macaulay algebras and various uniform Artin-Rees theorems. &newline;&newline;Features: &newline;&newline;The existence of test elements. &newline;&newline;A study of F-rational rings and rational singularities. &newline;&newline;Basic information concerning the Hilbert-Kunz function, phantom homology, and regular base change for tight closure. &newline;&newline;Numerous exercises with solutions.

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