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Seminar on Geometric Complex Analysis
Seminar information archive ～06/23｜Next seminar｜Future seminars 06/24～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2011/11/28
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Shin-ichi Matsumura (University of Tokyo)
An ampleness criterion with the extendability of singular positive metrics (JAPANESE)
Shin-ichi Matsumura (University of Tokyo)
An ampleness criterion with the extendability of singular positive metrics (JAPANESE)
[ Abstract ]
Coman, Guedj and Zeriahi proved that, for an ample line bundle L on a projective manifold X, any singular positive metric on the line bundle L|V along a subvariety V⊂X can be extended to a global singular positive metric of L. In this talk, we prove that the extendability of singular positive metrics on a line bundle along a subvariety implies the ampleness of the line bundle.
Coman, Guedj and Zeriahi proved that, for an ample line bundle L on a projective manifold X, any singular positive metric on the line bundle L|V along a subvariety V⊂X can be extended to a global singular positive metric of L. In this talk, we prove that the extendability of singular positive metrics on a line bundle along a subvariety implies the ampleness of the line bundle.
