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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



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Titolo: 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 Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Edizione: 1st ed. 2020.
Descrizione fisica: 1 online resource (XVI, 346 p. 137 illus., 45 illus. in color.)
Disciplina: 516.35
Soggetto topico: Algebraic geometry
Functions of complex variables
Algebraic Geometry
Several Complex Variables and Analytic Spaces
Persona (resp. second.): NeumannWalter
PichonAnne
Sommario/riassunto: 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all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves.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.
Titolo autorizzato: Introduction to Lipschitz Geometry of Singularities  Visualizza cluster
ISBN: 3-030-61807-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910484636603321
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Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 2280