ON COHOMOLOGY AND ZETA FUNCTIONS OF GENERALIZED SUZUKI CURVES IN CHARACTERISTIC TWO

Takahiro Tsushima

doi:10.7169/facm/2170

ON COHOMOLOGY AND ZETA FUNCTIONS OF GENERALIZED SUZUKI CURVES IN CHARACTERISTIC TWO

Takahiro Tsushima

School of Medicine

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	23-45
Number of pages	23
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	72
Issue number	1
DOIs	https://doi.org/10.7169/facm/2170
Publication status	Published - 2025 Mar

Keywords

generalized Suzuki curve
maximal curves
number of rational points
zeta function

ASJC Scopus subject areas

General Mathematics

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10.7169/facm/2170

Cite this

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title = "ON COHOMOLOGY AND ZETA FUNCTIONS OF GENERALIZED SUZUKI CURVES IN CHARACTERISTIC TWO",

abstract = "We study the {\'e}tale 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.",

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author = "Takahiro Tsushima",

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KW - maximal curves

KW - number of rational points

KW - zeta function

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ON COHOMOLOGY AND ZETA FUNCTIONS OF GENERALIZED SUZUKI CURVES IN CHARACTERISTIC TWO

Abstract

Keywords

ASJC Scopus subject areas

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