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Desingularizationinvariants and stra...

Cossart, Vincent.

Desingularizationinvariants and strategy : application to dimension 2 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Desingularizationby Vincent Cossart, Uwe Jannsen, Shuji Saito.
其他題名:	invariants and strategy : application to dimension 2 /
作者:	Cossart, Vincent.
其他作者:	Jannsen, Uwe.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	viii, 258 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Singularities (Mathematics)
電子資源:	https://doi.org/10.1007/978-3-030-52640-5
ISBN:	9783030526405$q(electronic bk.)

Desingularizationinvariants 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 ;2035..

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$q(electronic bk.)

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

185806
Singularities (Mathematics)

LC Class. No.: QA614.58

Dewey Class. No.: 514.746

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