Seminar on Geometric Complex Analysis
Seminar information archive ~05/02|Next seminar|Future seminars 05/03~
Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
---|---|
Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2016/06/27
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Takayuki Koike (Kyoto University)
On a higher codimensional analogue of Ueda theory and its applications (JAPANESE)
Takayuki Koike (Kyoto University)
On a higher codimensional analogue of Ueda theory and its applications (JAPANESE)
[ 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.
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.