Gordon Heier : On curvature and the structure of projective Kaehler manifolds

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Oct. 24, 2012, 4 p.m.

In

SEO 427

Abstract

We will investigate the structure of projective Kaehler manifolds based on various curvature assumptions. If the holomorphic sectional curvature is negative, we will prove positivity theorems for the canonical line bundle. In the positive curvature case, positive total scalar curvature will be shown to be a sufficient condition for uniruledness. This is joint work with S. S. Y. Lu and B. Wong.