4 papers
Orbits of smooth rational curves on Enriques surfaces
Simon Brandhorst, VÃctor González-Alonso
We give a closed formula for the number of orbits of smooth rational curves under the automorphism group of an Enriques surface in terms of its Nikulin root invariant and its Vinbe…
General infinitesimal variations of Hodge structure of ample curves in surfaces
VÃctor González-Alonso, Sara Torelli
Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper we dev…
Rigidity of modular morphisms via Fujita decomposition
Giulio Codogni, VÃctor González-Alonso, Sara Torelli
In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use pro…
527 elliptic fibrations on Enriques surfaces
Simon Brandhorst, VÃctor González-Alonso
Barth and Peters showed that a general complex Enriques surface has exactly 527 isomorphism classes of elliptic fibrations. We show that every Enriques surface has precisely 527 is…