Complete $(q+1)$-arcs in $\mathrm{PG}(2,\mathbb{F}_{q^6})$ from the Hermitian curve
Combinatorics
2023-06-05 v1
Abstract
We prove that, if is large enough, the set of the -rational points of the Hermitian curve is a complete -arc in , addressing an open case from a recent paper by Korchm\'aros, Sz\H{o}nyi and Nagy. An algebraic approach based on the investigation of some algebraic varieties attached to the arc is used.
Cite
@article{arxiv.2306.01134,
title = {Complete $(q+1)$-arcs in $\mathrm{PG}(2,\mathbb{F}_{q^6})$ from the Hermitian curve},
author = {Daniele Bartoli and Marco Timpanella},
journal= {arXiv preprint arXiv:2306.01134},
year = {2023}
}