On cohomology and zeta functions of generalized Suzuki curves in characteristic two

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 Mar 2025Publisher:Adam Mickiewicz University (Euclid)Journal:Functiones et Approximatio Commentarii Mathematici, volume 72 (issn: 0208-6573,

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Authors: Tsushima, Takahiro;

doi: 10.7169/facm/2170 , 10.5281/zenodo.8078949 , 10.5281/zenodo.8078950

On cohomology and zeta functions of generalized Suzuki curves in characteristic two

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Abstract

We study cohomology of generalized Suzuki curves in characteristic two as representations of their automorphism groups. We calculate the number of rational points and the zeta functions of the curves.

Related Organizations

Chiba University
Japan

Keywords

generalized Suzuki curve, Curves over finite and local fields, Étale and other Grothendieck topologies and (co)homologies, Automorphisms of curves, maximal curves, number of rational points, Rational points, Zeta and \(L\)-functions in characteristic \(p\), zeta function

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