Horospherical MMP Seminar

Thursday, November 10, 2022 1:00 pm - 1:00 pm EST

Changho Han, Department of Pure Mathematics, University of Waterloo

"Divisors and line bundles on horospherical varieties II"

Picking up where we left from the last time (the exact sequence for the Class group), I will first work on computing the Class group of some example(s) of horospherical varieties. Then I will show that Cartier divisors on horospherical varieties are linearly equivalent to Borel-invariant divisors, leading to combinatorial descriptions (PL functions for example). Then I will give a description of the Picard group of horospherical varieties and detect geometric properties (Z or Q factorial) of them and special line bundles (globally generated, ample, etc). There will be plenty of examples.

This seminar will be held jointly online and in person: