Projectivity of the moduli space of KSBA stable pairs and applications
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Seminar
Zsolt Patakfalvi (Lausanne) - Seminar Algebraic Geometry (SAG)
| What |
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| When |
Oct 27, 2016 from 10:30 am to 11:30 am |
| Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
| Contact Name | Sachinidis |
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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.
