Abstract.
We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves (DX). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D\((Y)\to\) D(X).
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Received May 10, 1999; in final form July 21, 1999 / Published online February 5, 2001
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Bridgeland, T., Maciocia, A. Complex surfaces with equivalent derived categories. Math Z 236, 677–697 (2001). https://doi.org/10.1007/PL00004847
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DOI: https://doi.org/10.1007/PL00004847