Abstract
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.
Details
Title
Motivic Classes of Nakajima Quiver Varieties
Author(s)
Wyss, Dimitri Stelio
Published in
International Mathematics Research Notices
Volume
2017
Issue
22
Pages
6961–6976
Date
2016-10-18
Other identifier(s)
View record in ArXiv
Laboratories
ARG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > ARG - Chair of Arithmetic Geometry
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2019-12-06