2024 On cohomology and zeta functions of generalized Suzuki curves in characteristic two
Takahiro Tsushima
Funct. Approx. Comment. Math. Advance Publication 1-23 (2024). DOI: 10.7169/facm/2170

Abstract

We study the étale 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. As an application, we obtain several maximal curves.

Citation

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Takahiro Tsushima. "On cohomology and zeta functions of generalized Suzuki curves in characteristic two." Funct. Approx. Comment. Math. Advance Publication 1 - 23, 2024. https://doi.org/10.7169/facm/2170

Information

Published: 2024
First available in Project Euclid: 27 August 2024

Digital Object Identifier: 10.7169/facm/2170

Subjects:
Primary: 11G20 , 11M38 , 14F20 , 14G05
Secondary: 14H37

Keywords: generalized Suzuki curve , maximal curves , number of rational points , zeta function

Rights: Copyright © 2024 Adam Mickiewicz University

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