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Desingularization = invariants and s...

Cossart, Vincent.

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Desingularization = invariants and strategy : application to dimension 2 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Desingularization/ by Vincent Cossart, Uwe Jannsen, Shuji Saito.
Reminder of title:	invariants and strategy : application to dimension 2 /
Author:	Cossart, Vincent.
other author:	Jannsen, Uwe.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	viii, 258 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Singularities (Mathematics) -
Online resource:	https://doi.org/10.1007/978-3-030-52640-5
ISBN:	9783030526405

Desingularization = invariants and strategy : application to dimension 2 /
Cossart, Vincent.

Desingularizationinvariants and strategy : application to dimension 2 /[electronic resource] :by Vincent Cossart, Uwe Jannsen, Shuji Saito. - Cham :Springer International Publishing :2020. - viii, 258 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22700075-8434 ;. - Lecture notes in mathematics ;v.2270..

This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka's Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.

ISBN: 9783030526405

Standard No.: 10.1007/978-3-030-52640-5doiSubjects--Topical Terms:

588970
Singularities (Mathematics)

LC Class. No.: QA614.58

Dewey Class. No.: 514.746

Desingularization = invariants and strategy : application to dimension 2 /
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490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v v.2270
520 $a This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka's Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.
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