Extension of 2-forms and symplectic varieties

Extension of 2-forms and symplectic varieties
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DOI:
10.1515/crll.2001.070
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发表时间:
2000-10
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
Y. Namikawa
Y. Namikawa
中科院分区:
其他
文献类型:
--
作者:
Y. Namikawa

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本文讨论了没有辛解的辛簇。K3曲面上的半稳定无扭滑层的模空间和辛V-流形就是这样的变体。我们将证明辛簇的局部Torelli定理。还给出了一些关于辛奇点的结果。
This paper deals with symplectic varieties which do not have symplectic resolutions. Some moduli spaces of semi-stable torsion-free sheaves on a K3 surface, and symplectic V-manifolds are such varieties. We shall prove local Torelli theorem for symplectic varieties. Some results on symplectic singularities are also included.