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＜電子ブック＞
Desingularization: Invariants and Strategy : Application to Dimension 2 / by Vincent Cossart, Uwe Jannsen, Shuji Saito
(Lecture Notes in Mathematics. ISSN:16179692 ; 2270)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
大きさ	VIII, 258 p. 41 illus : online resource
著者標目	*Cossart, Vincent author Jannsen, Uwe author Saito, Shuji author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Algebraic geometry FREE:Algebra FREE:Algebraic Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-52640-5

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