1 citations · 1 across the 4 of their papers we have counts for
4 papers
Bogomolov-Guan Manifolds are not formal
Ángel David Ríos Ortiz
Bogomolov--Guan manifolds form the only known series of compact simply connected non-Kähler holomorphic symplectic manifolds. We prove that all Bogomolov--Guan manifolds of complex…
Asymptotic base loci on hyper-Kähler manifolds
Francesco Antonio Denisi, Ángel David Ríos Ortiz
Given a projective hyper-Kähler manifold , we study the asymptotic base loci of big divisors on . We provide a numerical characterization of these loci and study how they var…
A survey on rational curves on complex surfaces
Giuseppe Barbaro, Filippo Fagioli, Ángel David Ríos Ortiz
In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the Kähler and non-Kähler setup. We systematically go through the Enriques--K…
Higher Gaussian Maps on K3 surfaces
Angel David Rios Ortiz
We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surface. As an application, we show that the higher -th Gauss map for a general c…