A. Aravena

activity

20202026

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2026

Gepner stability conditions on hypersurface categories

Anibal Aravena, Peize Liu, Jenia Tevelev

We construct numerical Bridgeland stability conditions on the category of graded matrix factorizations of every smooth complex projective hypersurface of degree $d \geq 2$ . These cond…

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…