Classifying Fano 4-folds with a rational fibration onto a 3-fold

Date/heure
20 janvier 2025
14:00 - 15:00

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Saverio Secci

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

In this talk I will present a joint work with C. Casagrande, in which we study smooth complex Fano 4-folds with a rational fibration onto a 3-fold. After an introduction on the setting and motivation, I will discuss our main result: if X is Fano 4-fold with a rational fibration onto a 3-fold and it is not a product of surfaces, then the Picard number of X is at most 9, and the bound is sharp. Moreover, I will present a classification result in a special case within the setting above, and show new examples of Fano 4-folds with large Picard number.