Eugenia Ferrari: An Enriques Theorem in Characteristic p

Abstract: At the beginning of the 20th century Enriques proved that a smooth complex surface with first and fourth plurigenus equal to 1 and irregularity equal to 2 is birationally equivalent to an abelian surface. In this talk I will sketch out how Enriques’ theorem has been extended to higher dimension and to positive characteristic. In particular, I will discuss a first result I obtained as part of my PhD project: a version of Enriques’ theorem for surfaces in characteristic p.