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EQUIVALENCES OF TRIANGULATED CATEGORIES AND FOURIER–MUKAI TRANSFORMS

Published online by Cambridge University Press:  01 January 1999

TOM BRIDGELAND
TOM BRIDGELAND
Affiliation:
Department of Mathematics and Statistics, University of Edinburgh, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ
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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.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 1 , January 1999 , pp. 25 - 34
Copyright
© The London Mathematical Society 1999

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