Balwe, Chetan T
(2008)
Geometric motivic integration on Artin n-stacks.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
We construct a measure on the Boolean algebra of sets of formal arcs on an Artin stack 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.
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Details
| Item Type: |
University of Pittsburgh ETD
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| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
29 October 2008 |
| Date Type: |
Completion |
| Defense Date: |
17 April 2008 |
| Approval Date: |
29 October 2008 |
| Submission Date: |
1 July 2008 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
algebraic geometry; arc spaces; motivic integration; stacks |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-07012008-134727/, etd-07012008-134727 |
| Date Deposited: |
10 Nov 2011 19:49 |
| Last Modified: |
15 Nov 2016 13:45 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/8247 |
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