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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 / Walter Neumann, Anne Pichon, editors.

Math/Physics/Astronomy Library QA3 .L28 no.2280
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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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Format:
Book
Contributor:
Neumann, W. D. (Walter David), 1946- editor.
Pichon, Anne, editor.
Series:
Lecture notes in mathematics (Springer-Verlag) ; 0075-8434 2280.
Lecture notes in mathematics, 0075-8434 ; volume 2280
Language:
English
Subjects (All):
Singularities (Mathematics).
Geometry, Algebraic.
Functions of complex variables.
Algebraic Geometry.
Several Complex Variables and Analytic Spaces.
Local Subjects:
Algebraic Geometry.
Several Complex Variables and Analytic Spaces.
Physical Description:
xvi, 344 pages : illustrations (some color) ; 24 cm.
Place of Publication:
Cham, Switzerland : Springer, [2020]
Summary:
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all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves.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.
Notes:
Includes bibliographical references and index.
ISBN:
9783030618063
3030618064
OCLC:
1236154821

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