Mariana Coutinho

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

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

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

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…