Motivic classes of Nakajima quiver varieties
Algebraic Geometry
2017-09-21 v1
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.
Keywords
Cite
@article{arxiv.1603.03200,
title = {Motivic classes of Nakajima quiver varieties},
author = {Dimitri Wyss},
journal= {arXiv preprint arXiv:1603.03200},
year = {2017}
}
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13 pages