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Projectivity of the moduli space of KSBA stable pairs and applications

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Speaker: 
Zsolt Patakfalvi
Affiliation: 
Lausanne
Date: 
Thu, 27/10/2016 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

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.

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