Resolution of Singularities of Embedded Algebraic Surfaces
By: by Shreeram S. Abhyankar
Edition: Second, Enlarged Edition.
Series: Springer Monographs in Mathematics; Springer Monographs in Mathematics
Publisher: Springer Berlin Heidelberg
Published: 1998
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 311
ISBN-13: 9783642083518; 9783662035801
Subjects: Mathematics; Geometry, algebraic; 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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