February 21, 2024Open Access

Relatives of the Hermitian curve

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Abstract

We introduce the notion of a relative of the Hermitian curve of degree q+1 over Fq, which is a plane curve defined by \ (x^q, y^q, z^q) A ᵗ \! (x, y, z) =0\ with A GL (3, Fq), and study their basic properties together with various examples. One of the basic properties is that the number of Fq-points of any relative of the Hermitian curve of degree q+1

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Cite This Study

Homma et al. (Wed,) studied this question.

synapsesocial.com/papers/68e785a2b6db6435876f7f2a https://doi.org/https://doi.org/10.48550/arxiv.2402.14192

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