Jaime Negrete

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.AG2025

Classification of wormhole singularities

Jaime Negrete

We classify all wormhole singularities, i.e. cyclic quotient surface singularities admitting at least two extremal P-resolutions, thereby solving an open problem posed by UrzÃºa. O…

math.AG2025

Classification of Horikawa surfaces with T-singularities

Vicente Monreal, Jaime Negrete, Giancarlo UrzÃºa

We classify all projective surfaces with only T-singularities, ample canonical class, and $K^{2} = 2 p_{g} - 4$ . In this way, we identify all surfaces, smoothable or not, with only T-singul…