Orateur : Pedro Montero
Établissement : Universidad Tecnica Federico Santa Maria (Chili)
Dates : 2024-11-28 – 2024-11-28
Heures : 14:00 – 14:00
Lieu : Salle 0-6
Résumé :
The study of automorphisms of K3 surfaces is a significant problem that connects the properties of these groups with geometric and arithmetic aspects of the underlying surfaces, while also serving as a source of inspiration for phenomena in higher dimensions. Notably, the classical problem of investigating the possible elliptic fibrations on such surfaces is of particular interest.
In this talk, we will consider non-symplectic involutions on K3 surfaces whose fixed locus consists of a single smooth curve of general type. We will show that it is possible to study, following Kodaira’s classification of singular fibers, non-trivial elliptic fibrations on such K3 surfaces induced by conic bundles on del Pezzo surfaces. These conic bundle structures on del Pezzo surfaces have traditionally been studied using techniques from Mori theory. Consequently, these results provide new insights into the classification of elliptic fibrations on K3 surfaces admitting non-symplectic involutions, even in cases where a Weierstrass model is not available.
This is a joint work with Paola Comparin (Temuco, Chile), Yulieth Prieto (Santiago, Chile) and Sergio Troncoso (Turin, Italy).