http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Resolution of singularities of embedded algebraic surfaces
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. The book can be used for a second year graduate course. The reference list has been updated.
Front Cover; Resolution of Singularities of Embedded Algebraic Surfaces; Copyright Page; Preface; Contents; Chapter 0. Introduction; Chapter 1. Local Theory; Chapter 2. Global Theory; Chapter 3. Some Cases of Three-Dimensional Birational Resolution; Index of Notation; Index of Definitions.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
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Includes bibliographical references (pages 285-286).
Pure and applied mathematics (Academic Press) ; 24
163940:164129 Elsevier Science & Technology