3 papers
math.AG2025
Orbits of smooth rational curves on Enriques surfaces
Simon Brandhorst, Víctor 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…
math.AG2024
527 elliptic fibrations on Enriques surfaces
Simon Brandhorst, Víctor 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…
math.AG2024
General infinitesimal variations of Hodge structure of ample curves in surfaces
Víctor 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…