On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters

DOI10.1142/s1793042123500781MaRDI QIDQ6110505

Takahiro Tsushima

Publication date: 1 August 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

étale cohomologyFermat varietiesJacobi sum Hecke charactersreduction of affinoids

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Galois representations (11F80) Varieties over finite and local fields (11G25)

Cites Work

• Stable reduction and uniformization of abelian varieties. I
• Elementary computation of ramified components of the Jacobi sum Hecke characters
• Fourier transformat, constants of the functional equations and Weil conjecture
• Local Fourier transform and epsilon factors
• Character sums associated to finite Coxeter groups
• Jacobi Sums as "Grossencharaktere"
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