Back to Algebraic Geometry Seminar: Spring 2015
Algebraic Geometry Seminar
Date: Tuesday, Apr 21, 2015
Time: 3:30PM - 4:30PM
Location: LCB 215
Zsolt Patakfalvi
Princeton University
Title |
On projectivity of the moduli space of stable surfaces in characteristic p > 5 |
Abstract |
Stable varieties are higher dimensional generalizations of stable curves. Their moduli space contains an open locus parametrizing varieties of general type up to birational equivalence, just as the space of stable curves contains the space of smooth curves in dimension one. Furthermore, also similarly to the one dimensional picture, it provides a compactification of the above locus, which is known in characteristic zero but it is only conjectural in positive characteristic in dimension at least two. I will present a work in progress aiming to prove the projectivity of every proper subspace of the moduli space of stable surfaces in characteristic greater than 5. |
Algebraic Geometry