ENGLISH

Resolution of Singularities of Embedded Algebraic Surfaces

By Shreeram S. Abhyankar (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
978-3-642-08351-8, 978-3-662-03580-1
DOI
10.1007/978-3-662-03580-1
Language
english
Format
PDF
Filesize
14 MB (14747792 bytes)
Series
Springer Monographs in Mathematics
Edition
2
Pages
312\318
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry; Number Theory

Description

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.

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