Time: March 14, 2024, 2:00 pm

Place: Room 403, IMI – BAS

Speaker: Morgan Brown  (University of Miami)

Title: Cox rings and characterization of toric varieties

Further information:

Abstract. Recently Moraga and Svaldi proved a conjecture of Shokoruv, characterizing in the relative case toroidal morphisms as those which admit divisors with many components relative to the Picard rank. I will discuss the global version, proved in previous joint work with McKernan, Svaldi and Zong. The proof relies on characterizing the singularity type of the Cox ring, giving another example of the use of these invariants in birational geometry.