Projectivity of the moduli space of stable log-varieties

Sandor Kovacs

This is a report on joint work with Zsolt Patakfalvi. We prove a strengthening of Kollár's Ampleness Lemma and use it to prove that any proper coarse moduli space of stable log-varieties of general type is projective.

http://scgp.stonybrook.edu/video_portal/video.php?id=2319

Simons- Program: Moduli spaces and singularities in algebraic and Riemannian geometry