H. Borges

activity

20112022

most citedOn some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.AGShow all

8 papers · 1 filter

math.AG2022

Plane curves with a large linear automorphism group in characteristic $p$

H. Borges, G. Korchmáros, P. Speziali

Let $G$ be a subgroup of the three dimensional projective group $PGL (3, q)$ defined over a finite field $F_{q}$ of order $q$ , viewed as a subgroup of $\mathrm{PGL}(3…

math.AG2019

On the Zeta function and the automorphism group of the generalized Suzuki curve

Herivelto Borges, Mariana Coutinho

For $p$ an odd prime number, $q_{0} = p^{t}$ , and $q = p^{2 t - 1}$ , let $X_{G_{S}}$ be the nonsingular model of $Y^{q} - Y = X^{q_{0}} (X^{q} - X) .$ In the pre…

math.AG2019★ 2 cited

On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

Herivelto Borges, Mariana Coutinho

Let $G$ be the projective plane curve defined over $F_{q}$ given by $a X^{n} Y^{n} - X^{n} Z^{n} - Y^{n} Z^{n} + b Z^{2 n} = 0,$ where $ab \in / {0, 1}$ , and for each $s\in\{2,\ldots,n-1\…

math.AG2018

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Nazar Arakelian, Herivelto Borges, Pietro Speziali

For any smooth Hurwitz curve $H_{n} : X Y^{n} + Y Z^{n} + X^{n} Z = 0$ over the finite field $F_{p}$ , an explict description of its Weierstrass points for the morphism of lines…

math.AG2018

Galois points for double-Frobenius nonclassical curves

Herivelto Borges, Satoru Fukasawa

We determine the distribution of Galois points for plane curves over a finite field of $q$ elements, which are Frobenius nonclassical for different powers of $q$ . This family is an…

math.AG2018

Plane sections of Fermat surfaces over finite fields

H. Borges, G. Cook, M. Coutinho

In this paper, we characterize all curves over $F_{q}$ arising from a plane section $P : X_{3} - e_{0} X_{0} - e_{1} X_{1} - e_{2} X_{2} = 0$ of the Fermat surface $$ \mathcal{S} : X…

Plane curves with a large linear automorphism group in characteristic p

On the Zeta function and the automorphism group of the generalized Suzuki curve

On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Galois points for double-Frobenius nonclassical curves

Plane sections of Fermat surfaces over finite fields

Plane curves with a large linear automorphism group in characteristic $p$