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

Daniel Huybrechts; Paolo Stellari

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

Algebraic Geometry 2013-09-12 v2

Authors: Daniel Huybrechts , Paolo Stellari

Abstract

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.

Keywords

caldararu conjecture k3 surfaces brauer classes hodge isometry fourier-mukai equivalence twisted sheaves

Cite

@article{arxiv.math/0411541,
  title  = {Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka},
  author = {Daniel Huybrechts and Paolo Stellari},
  journal= {arXiv preprint arXiv:math/0411541},
  year   = {2013}
}

Comments

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

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

Abstract

Keywords

Cite

Comments

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