Curves containing all points of a finite projective Galois plane
Algebraic Geometry
2018-07-12 v2
Abstract
In the projective plane PG(2,q) over a finite field of order q, a Tallini curve is a plane irreducible (algebraic) curve of (minimum) degree q+2 containing all points of PG(2,q). Such curves were investigated by G. Tallini in 1961, and by Homma and Kim in 2013. Our results concern the automorphism groups, the Weierstrass semigroups, the Hasse-Witt invariants, and quotient curves of the Tallini curves.
Keywords
Cite
@article{arxiv.1805.07345,
title = {Curves containing all points of a finite projective Galois plane},
author = {Gregory Duran Cunha},
journal= {arXiv preprint arXiv:1805.07345},
year = {2018}
}