On a higher codimensional analogue of Ueda theory and its applications

Date:
2016/07/15 Fri 10:30 - 12:00
Room:
Room 152, Building No.3
Speaker:
Takayuki Koike
Affiliation:
Kyoto University
Abstract:

Let $Y$ be a compact complex manifold embedded in a complex manifold with unitary flat normal bundle.
As a higher-codimensional generalization of Ueda's theory, we investigate the analytic structure of a neighborhood of $Y$.
As an application, we give a criterion for the existence of a smooth Hermitian metric with semi-positive curvature on a nef line bundle.