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arXiv 0709.1252math.DGmath.SG
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复曲面Hyperkähler簇的几何

The Geometry of Toric Hyperkähler Varieties

Hiroshi Konno

摘要:

在这篇综述文章中,我们描述了环面超凯勒簇的几何,这是四元向量空间的超凯勒簇。特别地,我们讨论了这些空间的贝蒂数、上同调环和超kähler结构的变式,并给出了许多改进的结果和证明.

英文摘要:

In this survey article we describe the geometry of toric hyperkähler varieties, which are hyperkähler quotients of the quaternionic vector spaces by tori. In particular, we discuss the Betti numbers, the cohomology ring, and variation of hyperkähler structures of these spaces with many improved results and proofs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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