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arXiv · 2009.04716

An elementary abelian $p$-cover of the Hermitian curve with many automorphisms

Herivelto Borges·Satoru Fukasawa
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Abstract

The full automorphism group of a certain elementary abelian $p$-cover of the Hermitian curve in characteristic $p>0$ is determined. It is remarkable that the order of Sylow $p$-groups of the automorphism group is close to Nakajima's bound in terms of the $p$-rank. Weierstrass points, Galois points, Frobenius nonclassicality, and arc property are also investigated.

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Herivelto Borges, Satoru Fukasawa. 2022-02-08. An elementary abelian $p$-cover of the Hermitian curve with many automorphisms. https://arxiv.org/abs/2009.04716

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