Resolution of Singularities of Embedded Algebraic Surfaces

Name: Resolution of Singularities of Embedded Algebraic Surfaces
Availability: OutOfStock
ISBN: 9780120419562

ISBN-10: 0120419564

ISBN-13: 9780120419562

Edition: N/A

Authors: Shreeram Shankar Abhyankar

List price: $81.00

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Description:

This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and arithmetical varieties which will be valuable for applications to algebraic geometry and number theory.…

Book details

List price: $81.00
Publisher: Elsevier Science & Technology Books
Binding: Hardcover
Language: English

Preface to the Second Edition
Preface to the First Edition
Introduction	p. 1
Local Theory
Terminology and preliminaries	p. 7
Resolvers and principalizers	p. 45
Dominant character of a normal sequence	p. 61
Unramified local extensions	p. 108
Main results	p. 148
Global Theory
Terminology and preliminaries	p. 155
Global resolvers	p. 192
Global principalizers	p. 223
Main results	p. 233
Some Cases of Three-Dimensional Birational Resolution
Uniformization of points of small multiplicity	p. 238
Three-dimensional birational resolution over a ground field of characteristic zero	p. 261
Existence of projective models having only points of small multiplicity	p. 262
Three-dimensional birational resolution over an algebraically closed ground field of characteristic [actual symbol not reproducible] 2, 3, 5	p. 283
Appendix on Analytic Desingularization in Characteristic Zero	p. 285
Bibliography	p. 301
Additional Bibliography	p. 303
Index of Notation	p. 305
Index of Definitions	p. 307
List of Corrections	p. 311
Table of Contents provided by Blackwell. All Rights Reserved.