عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642083518
(Number (ISBN
9783662035801
NATIONAL BIBLIOGRAPHY NUMBER
Number
b407049
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Resolution of Singularities of Embedded Algebraic Surfaces
General Material Designation
[Book]
First Statement of Responsibility
by Shreeram S. Abhyankar.
EDITION STATEMENT
Edition Statement
Second, Enlarged Edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1998.
SERIES
Series Title
Springer Monographs in Mathematics,
ISSN of Series
1439-7382
CONTENTS NOTE
Text of Note
0 Introduction -- 1. Local Theory -- 1 Terminology and preliminaries -- 2 Resolvers and principalizers -- 3 Dominant character of a normal sequence -- 4 Unramified local extensions -- 5 Main results -- 2. Global Theory -- 6 Terminology and preliminaries -- 7 Global resolvers -- 8 Global principalizers -- 9 Main results -- 3. Some Cases of Three-Dimensional Birational Resolution -- 10 Uniformization of points of small multiplicity -- 11 Three-dimensional birational resolution over a ground field of characteristic zero -- 12 Existence of projective models having only points of small multiplicity -- 13 Three-dimensional birational resolution over an algebraically closed ground field of charateristic ? 2, 3, 5 -- Appendix on Analytic Desingularization in Characteristic Zero -- Additional Bibliography -- Index of Notation -- Index of Definitions -- List of Corrections.
0
SUMMARY OR ABSTRACT
Text of Note
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. It can can be used for a second year graduate course. The reference list has been updated.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783642083518
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic.
Mathematics.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Abhyankar, Shreeram S.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307161600.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
