Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Tuesday, Dec 6, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
Mihai Paun
University of Illinois at Chicago
Title |
Positivity of quotients of cotangent bundles |
Abstract |
I will report on a joint work with F. Campana. Consider a projective manifold whose canonical bundle is pseudo-effective. We show that the determinant of any quotient of some tensor power of its co-tangent bundle is pseudo-effective as well. This can be seen as a generalization of the important generic semi-positivity result of Y. Miyaoka; some applications will equally be discussed. |
Algebraic Geometry