Programm des Emmy-Noether-Seminars

Fri, 28.07.2017, 14:30

Fri, 28.07.2017, 15:30
Frobenius splittings of toric varieties and unimodularity

Speaker: Porf. Milena Hering (Edinburgh)
Host: Knop
Room: 04.363

Many nice properties of toric varieties can be deduced from the fact that they admit a splitting of the Frobenius morphism. Varieties whose product with themselves admits a splitting compatible with the diagonal exhibit even nicer properties. For example, every ample line bundle on such a variety is normally generated. In this talk I will give an overview over the consequences of the existence of such splittings and discuss new combinatorial criteria for toric varieties to be diagonally split.