The essential skeleton of a degeneration of algebraic varieties

Algebra Seminar
Wednesday, March 12, 2014 - 15:05
1 hour (actually 50 minutes)
Skiles 006
KU Leuven
I will explain the construction of the essential skeleton of a one-parameter degeneration of algebraic varieties, which is a simplicial space encoding the geometry of the degeneration, and I will prove that it coincides with the skeleton of a good minimal dlt-model of the degeneration if the relative canonical sheaf is semi-ample. These results, contained in joint work with Mircea Mustata and Chenyang Xu, provide some interesting connections between Berkovich geometry and the Minimal Model Program.