Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka

Mathematics – Algebraic Geometry

Scientific paper

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10 pages, to appear in Adv. Stud. in Pure Math. 43, Moduli spaces and arithmetic geometry. Final version. Minor mistakes corre

Scientific paper

We show that any orientation preserving Hodge isometry between the Hodge
structures of two K3 surfaces X and X' twisted by Brauer classes $\alpha$ resp.
$\alpha'$ can be lifted to a Fourier-Mukai equivalence between the derived
categories of $\alpha$ resp. $\alpha'$-twisted sheaves.

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