H. Borges

activity

20112019

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

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

collaborators

3 papers

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.AG2015

Frobenius nonclassicality of Fermat curves with respect to cubics

Nazar Arakelian, Herivelto Borges

For Fermat curves $F : a X^{n} + b Y^{n} = Z^{n}$ defined over $F_{q}$ , we establish necessary and sufficient conditions for $F$ to be $F_{q}$ -Frobenius nonclas…

math.NT2011

On the characterization of minimal value set polynomials

Herivelto Borges, Ricardo Conceição

We give an explicit characterization of all minimal value set polynomials in $\F_q[x]$ whose set of values is a subfield $\F_{q'}$ of $\F_{q}$. We show that the set of such polynom…