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 $c_2=5c_1^2+36$ if $c_1^2$ is even, or $c_2=5c_1^2+30$ if $c_1^…