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arXiv · 1910.04231

On the number of rational points of classifying stacks for Chevalley group schemes

Scott Balchin·Frank Neumann
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Abstract

We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz-Grothendieck trace formula of Behrend for $\ell$-adic cohomology of algebraic stacks. From this we also derive associated zeta functions for these classifying stacks.

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Scott Balchin, Frank Neumann. 2019-10-09. On the number of rational points of classifying stacks for Chevalley group schemes. https://arxiv.org/abs/1910.04231

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