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Desingularization: Invariants and St...
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SpringerLink (Online service)
Desingularization: Invariants and Strategy = Application to Dimension 2 /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Desingularization: Invariants and Strategy/ by Vincent Cossart, Uwe Jannsen, Shuji Saito.
Reminder of title:
Application to Dimension 2 /
Author:
Cossart, Vincent.
other author:
Jannsen, Uwe.
Description:
VIII, 258 p. 41 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Algebra. -
Online resource:
https://doi.org/10.1007/978-3-030-52640-5
ISBN:
9783030526405
Desingularization: Invariants and Strategy = Application to Dimension 2 /
Cossart, Vincent.
Desingularization: Invariants and Strategy
Application to Dimension 2 /[electronic resource] :by Vincent Cossart, Uwe Jannsen, Shuji Saito. - 1st ed. 2020. - VIII, 258 p. 41 illus.online resource. - Lecture Notes in Mathematics,22700075-8434 ;. - Lecture Notes in Mathematics,2144.
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:
579870
Algebra.
LC Class. No.: QA150-272
Dewey Class. No.: 512
Desingularization: Invariants and Strategy = Application to Dimension 2 /
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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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