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

医学部

研究成果: Article › 査読

抄録

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.

本文言語	English
ページ（範囲）	23-45
ページ数	23
ジャーナル	Functiones et Approximatio, Commentarii Mathematici
巻	72
号	1
DOI	https://doi.org/10.7169/facm/2170
出版ステータス	Published - 2025 3月

ASJC Scopus subject areas

数学一般

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10.7169/facm/2170

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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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KW - maximal curves

KW - number of rational points

KW - zeta function

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JO - Functiones et Approximatio, Commentarii Mathematici

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

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