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Resolution of curve and surface singularities in characteristic zero

Author: Karl-Heinz Kiyek; José Luis Vicente Córdoba
Publisher: Dordrecht ; Boston : Kluwer Academic, ©2004.
Series: Algebras and applications, v. 4.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book covers the theory of resolutions of surface singularities in characteristic zero. The primary goal is to present in detail, and for the first time in one volume, two proofs for the existence of such resolutions." "Despite the intention to serve graduate students and researchers of Commutative Algebra and Algebraic Geometry, a basic knowledge on these topics is necessary only. This is obtained by a  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Karl-Heinz Kiyek; José Luis Vicente Córdoba
ISBN: 1402020287 9781402020285 1402020295 9781402020292
OCLC Number: 55535141
Description: xxi, 483 pages : illustrations ; 25 cm.
Contents: I. Valuation theory --
II. One-dimensional semilocal Cohen-Macaulay rings --
III. Differential modules and ramification --
IV. Formal and convergent power series rings --
V. Quasiordinary singularities --
VI. The singularity Z[superscript q] = XY[superscript p] --
VII. Two-dimensional regular local rings --
VIII. Resolution of singularities --
App. A. Results from classical algebraic geometry.
Series Title: Algebras and applications, v. 4.
Responsibility: by K. Kiyek and J.L. Vicente.
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Abstract:

Covers the theory of resolutions of surface singularities in characteristic zero. This book presents two proofs for the existence of such resolutions. It also uses the uniformization of  Read more...

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From the reviews: "As indicated in the title ... describes different methods of resolution of singularities of curves and surfaces ... . The first seven chapters are dedicated to developing the Read more...

 
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