Text only print
Full screen print
Seminar on Geometric Complex Analysis
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2014/10/27
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Takayuki Koike (University of Tokyo)
On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles (JAPANESE)
Takayuki Koike (University of Tokyo)
On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles (JAPANESE)
[ Abstract ]
We apply Ueda theory to a study of singular Hermitian metrics of a (strictly) nef line bundle $L$. Especially we study minimal singular metrics of $L$, metrics of $L$ with the mildest singularities among singular Hermitian metrics of $L$ whose local weights are plurisubharmonic. In some situations, we determine a minimal singular metric of $L$. As an application, we give new examples of (strictly) nef line bundles which admit no smooth Hermitian metric with semi-positive curvature.
We apply Ueda theory to a study of singular Hermitian metrics of a (strictly) nef line bundle $L$. Especially we study minimal singular metrics of $L$, metrics of $L$ with the mildest singularities among singular Hermitian metrics of $L$ whose local weights are plurisubharmonic. In some situations, we determine a minimal singular metric of $L$. As an application, we give new examples of (strictly) nef line bundles which admit no smooth Hermitian metric with semi-positive curvature.
