Mathematics – Algebraic Geometry
Scientific paper
2004-09-02
Mathematics
Algebraic Geometry
Final version. 35 pages. to appear in Math. Ann
Scientific paper
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.
Huybrechts Daniel
Stellari Paolo
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