Dissertation/Thesis Abstract

Geometric motivic integration on Artin N-stacks
by Balwe, Chetan T., Ph.D., University of Pittsburgh, 2008, 112; 3335718
Abstract (Summary)

We construct a measure on the Boolean algebra of sets of formal arcs on an Artin stacks which are definable in the language of Denef-Pas. The measure takes its values in a ring that is obtained from the Grothendieck ring of Artin stacks over the residue field by a localization followed by a completion. This construction is analogous to the construction of motivic measure on varieties by Denef and Loeser. We also obtain a “change of base” formula which allows us to relate the motivic measure on different stacks.

Indexing (document details)
Advisor: Hales, Thomas C.
School: University of Pittsburgh
School Location: United States -- Pennsylvania
Source: DAI-B 69/11, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Artin N-stacks, Motivic integration, Stacks
Publication Number: 3335718
ISBN: 9780549895084
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