A. Aravena

activity

20202026

collaborators

3 papers

math.AG2026

Pseudo-hyperbolicity of Horikawa surfaces

Anibal Aravena, Jaime Negrete, Wern Yeong

Horikawa surfaces are minimal complex algebraic surfaces of general type with minimal Chern slope, satisfying either $c_{2} = 5 c_{1}^{2} + 36$ if $c_{1}^{2}$ is even, or $c_{2} = 5 c_{1}^{2} + 30$ if $c_1^…

math.AG2024

Fano visitor problem for K3 surfaces

Anibal Aravena

Let $X$ be a K3 surface with Picard number 1 and genus $g$ , such that $g \neq \equiv 3 mod 4$ . In this paper, we show that $X$ is a Fano visitor, i.e., there is a smooth Fano variet…

math.RA2020

Iterated constructions of completely normal polynomials

Anibal Aravena

The $R_{σ, t}$ -transform introduced by Bassa and Menares can be used to construct families of irreducible polynomials in $F_{q} [x]$ . This iterative construction is a generali…