H. Borges

activity

20112025

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

2 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

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\…