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Complex surfaces with equivalent derived categories

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Edinburgh, King's Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK (e-mail: tab@maths.ed.ac.uk) , , , , , , GB

    Tom Bridgeland & Antony Maciocia

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  1. Tom Bridgeland
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  2. Antony Maciocia
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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

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