English

Equivalences of triangulated categories and Fourier-Mukai transforms

Algebraic Geometry 2019-03-14 v2

Abstract

We give a condition for an exact functor between triangulated categories to be an equivalence. Applications to Fourier-Mukai transforms are discussed. In particular, we obtain a large number of such transforms for K3 surfaces.

Keywords

Cite

@article{arxiv.math/9809114,
  title  = {Equivalences of triangulated categories and Fourier-Mukai transforms},
  author = {Tom Bridgeland},
  journal= {arXiv preprint arXiv:math/9809114},
  year   = {2019}
}

Comments

11 pages, to appear in Bull. Lond. Math. Soc