Ample cone of KSB moduli spaces and higher dimensional slope inequalities

Abstract: I will present some quantitative results about the ample cone of KSB moduli spaces. These results follow from various higher dimensional generalizations of the Xiao-Cornalba-Harris slope inequality. Our proofs combine some new Noether inequalities, and a careful study of the Harder-Narasimhan filtration of the push-forward of the log pluri-canonical bundles. The talk is based on a work in progress joint with Luca Tasin and Filippo Viviani.

algebraic geometry

Audience: researchers in the topic

EDGE 2020 (online)

Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).