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

On the Number of Rational Points of Classifying Stacks for Chevalley Group Schemes

Neumann F.
2020-01-01

Abstract

We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz–Grothendieck trace formula of Behrend for l-adic cohomology of algebraic stacks. From this we also derive associated zeta functions for these classifying stacks.
2020
978-3-030-51794-6
978-3-030-51795-3
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1478895
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