Arc schemes and singularities

by Bourqui, David Nicaise, Johannes Sebag, Julien

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Title Statements

Full title :Arc schemes and singularities / editors, David Bourqui (Université de Rennes 1, France), Johannes Nicaise (Imperial College London, UK, University of Leuven, Belgium), Julien Sebag (Université de Rennes 1, France).

Summary

"This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme. Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory"--

Edition Statements

Publication Date:©2020

Publication Statements

Publisher(s):World Scientific Publishing Europe Ltd
Place of Publication:London
Language:eng
Publication Date:©2020

The Physical Object

Description:1 online resource (xi, 299 pages) : : illustrations

Edition Identifiers

ISBN:9781786347206, 1786347202
oclc:on1192498124
LC Classification:QA567

Subjects

Algebraic spaces Constructions géométriques Courbes algébriques Curves, Algebraic Espaces algébriques Geometrical constructions Géométrie algébrique Geometry, Algebraic Singularités (Mathématiques) Singularities (Mathematics)