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arXiv · 1603.03200

Motivic classes of Nakajima quiver varieties

Dimitri Wyss
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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.

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Dimitri Wyss. 2016-03-10. Motivic classes of Nakajima quiver varieties. https://doi.org/10.1093/imrn%2Frnw217

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