arXiv math/04115412004-11math.AG

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

Daniel Huybrechts, Paolo Stellari

备注：: 10 pages, to appear in Adv. Stud. in Pure Math. 43, Moduli spaces and arithmetic geometry. Final version. Minor mistakes corrected
发表信息：: Adv. Stud. Pure Math. 45 (2007), 31-42

英文摘要：

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

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