Equivalences of twisted K3 surfaces
From the abstract: 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.
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