Equivalences of triangulated categories and Fourier-Mukai transforms

Details Equivalences of triangulated categories and Fourier-Mukai transforms Equivalences of triangulated categories and Fourier-Mukai transforms

1998-09-21

arxiv.org/abs/math/9809114v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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