5 papers
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…
Crossing the transcendental divide: from Schottky groups to algebraic curves
Samantha Fairchild, Ángel David Ríos Ortiz
Though the uniformization theorem guarantees an equivalence of Riemann surfaces and smooth algebraic curves, moving between analytic and algebraic representations is inherently tra…
On the transcendental lattices of Hyperkähler manifolds
Benedetta Piroddi, Ángel David Ríos Ortiz
We introduce the notion of a Hyper-Kähler manifold induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of hyper-Kähler manifolds stu…