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Seminar on Geometric Complex Analysis
Seminar information archive ～05/22｜Next seminar｜Future seminars 05/23～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2019/10/07
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Yusaku Chiba (Ochanomizu Univ.)
Cohomology of vector bundles and non-pluriharmonic loci (Japanese)
Yusaku Chiba (Ochanomizu Univ.)
Cohomology of vector bundles and non-pluriharmonic loci (Japanese)
[ Abstract ]
We study cohomology groups of vector bundles on neighborhoods of a non-pluriharmonic locus in Stein manifolds and in projective manifolds. By using our results, we show variants of the Lefschetz hyperplane theorem. We especially study the examples of non-pluriharmonic loci in smooth toric varieties. I would like to explain the relation of non-pluriharmonic loci and polytopes.
We study cohomology groups of vector bundles on neighborhoods of a non-pluriharmonic locus in Stein manifolds and in projective manifolds. By using our results, we show variants of the Lefschetz hyperplane theorem. We especially study the examples of non-pluriharmonic loci in smooth toric varieties. I would like to explain the relation of non-pluriharmonic loci and polytopes.
