Personal tools
You are here: Home Events Projectivity of the moduli space of KSBA stable pairs and applications

Projectivity of the moduli space of KSBA stable pairs and applications

— filed under:

Zsolt Patakfalvi (Lausanne) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Oct 27, 2016
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
Add event to calendar vCal
iCal

KSBA (Kollár-Shepherd-Barron-Alexeev) stable pairs are higher dimensional generalizations of (weighted) stable pointed curves. I will present a joint work with Sándor Kovács on proving the projectivity of this moduli space in characteristic zero, by showing that certain Hodge-type line bundles are ample on it. I will also mention applications to the subadditivity of logarithmic Kodaira dimension, and to the ampleness of the CM (Chow-Mumford) line bundle.