On the Minimal Model Program for algebraically integrable foliations

Abstract

Every fibration, or more in general, every dominant rational map between normal varieties, defines a natural foliation, which is called algebraically integrable. The canonical sheaf of such a foliation behaves, in many aspects, as the canonical sheaf of a normal variety. I will describe some recent results in this direction, such as a cone theorem, and some applications on the canonical bundle formula. In particular, this provides a proof of a conjecture by Shokurov. This is joint work with Ambro, Shokurov and Spicer.

Eventi passati

È possibile consultare gli eventi del precedente ciclo alla pagina dedicata