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OverviewThis 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. Full Product DetailsAuthor: David Bourqui (Univ Of Rennes 1, France) , Johannes Nicaise (Imperial College London, Uk & Univ Of Leuven, Belgium) , Julien Sebag (Univ Of Rennes 1, France)Publisher: World Scientific Europe Ltd Imprint: World Scientific Europe Ltd ISBN: 9781786347190ISBN 10: 1786347199 Pages: 312 Publication Date: 04 April 2020 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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