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＜電子ブック＞
Introduction to Lipschitz Geometry of Singularities : Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018 / edited by Walter Neumann, Anne Pichon
(Lecture Notes in Mathematics. ISSN:16179692 ; 2280)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
本文言語	英語
大きさ	XVI, 346 p. 137 illus., 45 illus. in color : online resource
著者標目	Neumann, Walter editor Pichon, Anne editor SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Functions of complex variables FREE:Algebraic Geometry FREE:Several Complex Variables and Analytic Spaces
一般注記	This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject HTTP:URL=https://doi.org/10.1007/978-3-030-61807-0

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