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Algebraic Geometry Seminar
Seminar information archive ～03/29｜Next seminar｜Future seminars 03/30～
| Date, time & place | Tuesday 10:30 - 11:30 or 12:00 ハイブリッド開催/002Room #ハイブリッド開催/002 (Graduate School of Math. Sci. Bldg.) |
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2018/04/17
15:30-17:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Katsuhiko Okumura (Waseda Univ. )
SNC log symplectic structures on Fano products (English/Japanese)
Katsuhiko Okumura (Waseda Univ. )
SNC log symplectic structures on Fano products (English/Japanese)
[ Abstract ]
In 2014, Lima and Pereira gave a characterization of the even-dimensional projective space in terms of log symplectic Poisson structures. After that Pym gave an another more algebraic proof. In this talk, we will extend the result of Lima and Pereira to the case that the variety is a product of Fano varieties with the cyclic Picard group. This will be proved by extending Pym's proof. As a corollary, we will obtain a characterization of the projective space of all dimensions.
In 2014, Lima and Pereira gave a characterization of the even-dimensional projective space in terms of log symplectic Poisson structures. After that Pym gave an another more algebraic proof. In this talk, we will extend the result of Lima and Pereira to the case that the variety is a product of Fano varieties with the cyclic Picard group. This will be proved by extending Pym's proof. As a corollary, we will obtain a characterization of the projective space of all dimensions.
