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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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Abhyankar, Shreeram Shankar
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1966.
Colección:Pure and applied mathematics (Academic Press) ; 24.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Abhyankar, Shreeram Shankar. 
245 1 0 |a Resolution of singularities of embedded algebraic surfaces. 
260 |a New York :  |b Academic Press,  |c 1966. 
300 |a 1 online resource (ix, 291 pages) 
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490 1 |a Pure and applied mathematics; series of monographs and textbooks ;  |v 24 
504 |a Includes bibliographical references (pages 285-286). 
588 0 |a Print version record. 
505 0 |a 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. 
520 8 |a 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. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
538 |a 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.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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546 |a English. 
650 0 |a Surfaces, Algebraic. 
650 0 |a Singularities (Mathematics) 
650 0 |a Geometry, Algebraic. 
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650 6 |a Surfaces alg�ebriques.  |0 (CaQQLa)201-0050801 
650 6 |a Singularit�es (Math�ematiques)  |0 (CaQQLa)201-0051679 
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650 7 |a Singularities (Mathematics)  |2 fast  |0 (OCoLC)fst01119502 
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776 0 8 |i Print version:  |a Abhyankar, Shreeram Shankar.  |t Resolution of singularities of embedded algebraic surfaces.  |d New York : Academic Press, 1966  |w (DLC) 66026258  |w (OCoLC)525591 
830 0 |a Pure and applied mathematics (Academic Press) ;  |v 24. 
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