2012 Fiscal Year Final Research Report
The geometry of complex symplectic varieties
| Project/Area Number |
21340005
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | 複素シンプレクティック多様体 / ポアソン変形 / 双有理幾何 / べき零多様体 |
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| Research Abstract |
We have studied affine symplectic varieties and their crepant resolutions from the point of view of birational geometry and Poisson deformations.In particular, we proved that the Poisson deformations of affine symplectic varieties are unobstructed and we furthermore showed that those varieties have crepant resolutions if and only if they can be smoothed by Poisson deformations. We also gave a characterization of the nilpotent varieties of complex semisimple Lie algebras.
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Research Products
(24 results)
