عنوان

Resolution of Singularities of Embedded Algebraic Surfaces

شابک

9783642083518

شابک

9783662035801

شماره

b407049

عنوان اصلي

Resolution of Singularities of Embedded Algebraic Surfaces

نام عام مواد

[Book]

نام نخستين پديدآور

by Shreeram S. Abhyankar.

وضعيت ويراست

Second, Enlarged Edition.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Springer Monographs in Mathematics,

شاپا ي ISSN فروست

1439-7382

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9783642083518

عنوان

Springer eBooks

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Number theory.

مستند نام اشخاص تاييد نشده

Abhyankar, Shreeram S.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307161600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y