Fano varieties, fibrations and pathologies in positive characteristic
Andrea Fanelli (Versailles, Paris Saclay)

In this talk, starting from the perspective of characteristic zero, I will discuss some pathologies for Fano varieties in characteristic p>0. I will focus on two aspects: - smoothness for the generic fibre of del Pezzo fibrations in dimension 3; - exotic torsion for the Néron-Severi group of Fano 3-folds. This is a joint project with Stefan Schröer.

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