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research article
Motivic Classes of Nakajima Quiver Varieties
October 18, 2016
We prove that Hausel’s formula for the number of rational points of a Nakajima quiver variety over a finite field also holds in a suitable localization of the Grothendieck ring of varieties. In order to generalize the arithmetic harmonic analysis in his proof we use Grothendieck rings with exponentials as introduced by Cluckers-Loeser and Hrushovski-Kazhdan.
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Type
research article
ArXiv ID
1603.03200
Authors
Publication date
2016-10-18
Published in
Volume
2017
Issue
22
Start page
6961
End page
6976
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 6, 2019