Equivalences of twisted K3 surfaces
Equivalences of twisted K3 surfaces
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DOI：
10.1007/s00208-005-0662-2
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发表时间：
2004-09
影响因子：
1.4
通讯作者：
D. Huybrechts;P. Stellari
中科院分区：
文献类型：
--
作者：
D. Huybrechts;P. Stellari
我们证明了两个导出的等价扭曲K3曲面具有同构周期。匡威的是，K3曲面与大皮卡德数。本文还证明了任意扭曲K3曲面之间所有可能的扭曲导出等价构成了K3曲面上同调的所有正交变换群的一个子群，扭曲导出等价到上同调作用的通路可以通过扭曲Chern特征标来实现，这些特征标将在任意光滑射影簇中引入.
We prove that two derived equivalent twisted K3 surfaces have isomorphic periods. The converse is shown for K3 surfaces with large Picard number. It is also shown that all possible twisted derived equivalences between arbitrary twisted K3 surfaces form a subgroup of the group of all orthogonal transformations of the cohomology of a K3 surface.The passage from twisted derived equivalences to an action on the cohomology is made possible by twisted Chern characters that will be introduced for arbitrary smooth projective varieties.