ARC Schemes and Singularities
Bourqui David
Sold by Ria Christie Collections, Uxbridge, United Kingdom
AbeBooks Seller since 25 March 2015
New - Hardcover
Condition: New
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Add to basketSold by Ria Christie Collections, Uxbridge, United Kingdom
AbeBooks Seller since 25 March 2015
Condition: New
Quantity: Over 20 available
Add to basketThis 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.
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