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Equivalences of Triangulated Categories and Fourier–Mukai Transforms
Author(s) -
Bridgeland Tom
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398004998
Subject(s) - mathematics , functor , equivalence (formal languages) , pure mathematics , equivalence of categories , fourier transform , algebra over a field , mathematical analysis
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. 1991 Mathematics Subject Classification 18E30, 14J28.