Algebraic Geometry Seminar
Gordon Heier
University of Houston
On curvature and the structure of projective Kaehler manifolds
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.
Wednesday October 24, 2012 at 4:00 PM in SEO 427