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Speaker:
Zsolt Patakfalvi
Affiliation:
Lausanne
Date:
Thu, 27/10/2016 - 10:30 - 12:00
Location:
MPIM Lecture Hall
Parent event:
Seminar Algebraic Geometry (SAG) 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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