On the Hermitian curve and its intersections with some conics
Commutative Algebra
2016-04-01 v1
Abstract
We classify completely the intersections of the Hermitian curve with parabolas in the affine plane. To obtain our results we employ well-known algebraic methods for finite fields and geometric properties of the curve automorphisms. In particular, we provide explicit counting formulas that have also applications to some Hermitian codes.
Cite
@article{arxiv.1402.3829,
title = {On the Hermitian curve and its intersections with some conics},
author = {Chiara Marcolla and Marco Pellegrini and Massimiliano Sala},
journal= {arXiv preprint arXiv:1402.3829},
year = {2016}
}
Comments
This article is contained in previous article "On the Hermitian curve, its intersections with some conics and their applications to affine-variety codes and Hermitian codes" (arXiv:1208.1627)