Trace formulae for actions of finite unitary groups on cohomology of Artin-Schreier varieties

DOI10.1016/j.jalgebra.2023.10.006zbMath1526.20020MaRDI QIDQ6066474

Takahiro Tsushima

Publication date: 16 November 2023

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

trace formulafinite unitary groupadditive polynomialArtin-Schreier variety

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Étale and other Grothendieck topologies and (co)homologies (14F20) Representations of finite groups of Lie type (20C33) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Cites Work

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• Zeta functions of a class of Artin-Schreier curves with many automorphisms
• On character formulae for Weil representations for unitary groups over finite fields
• Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences

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