Motivic classes of commuting varieties via power structures-Reference-Cited by-同舟云学术

Motivic classes of commuting varieties via power structures

Published:2014-10-20 Issue:1 Volume:24 Page:183-199
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Bryan Jim,Morrison Andrew

Abstract

We prove a formula, originally due to Feit and Fine, for the class of the commuting variety in the Grothendieck group of varieties. Our method, which uses a power structure on the Grothendieck group of stacks, allows us to prove several refinements and generalizations of the Feit-Fine formula. Our main application is to motivic Donaldson-Thomas theory.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference14 articles.

1. Motivic degree zero Donaldson-Thomas invariants;Behrend, Kai;Invent. Math.,2013

2. On the motivic class of the stack of bundles;Behrend, Kai;Adv. Math.,2007

3. Torsten Ekedahl, A geometric invariant of a finite group. arXiv:math/0903.3148.

4. Torsten Ekedahl, The Grothendieck group of algebraic stacks. arXiv:math/0903.3143.

5. Pairs of commuting matrices over a finite field;Feit, Walter;Duke Math. J.,1960

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