7 papers
Coble type hypersurfaces and hyperkähler fourfolds
Benedetta Piroddi, Ángel David Ríos Ortiz, Andrés Rojas +1
A classical result, already observed by Coble, asserts that a genus 2 Jacobian can be embedded in as the singular locus of a unique cubic hypersurface; similarly, the…
Hilbert schemes of points on fold-like curves and their combinatorics
Ángel David Ríos Ortiz, Javier Sendra-Arranz
We investigate the Hilbert scheme of points on curves with n-fold singularities, that is curves that look locally around their singular points as the axis in an affine space. We de…
Projective models for Hilbert squares of surfaces
Ángel David Ríos Ortiz, Andrés Rojas, Jieao Song
For a very general polarized surface of genus , we study the linear system on the Hilbert square parametrizing quadrics in $\mathbb{P…
The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces
Claudio Onorati, Ángel David Ríos Ortiz
In this paper we prove the SYZ conjecture for irreducible symplectic varieties that are locally trivial deformation equivalent to moduli spaces of sheaves on K3 surfaces. As an int…
Coble duality for Jacobian Kummer fourfolds
Daniele Agostini, Pietro Beri, Franco Giovenzana +1
We study projective models of generalized Kummer fourfolds via O'Grady's theta groups and the classical Coble cubic. More precisely, we establish a duality between two singular mod…
MMP for Enriques pairs and singular Enriques varieties
Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas +1
We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is sta…