Complex surfaces with equivalent derived categories |
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| Authors: | Tom Bridgeland Antony Maciocia |
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| Institution: | (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 |
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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 D(X).
Received May 10, 1999; in final form July 21, 1999 / Published online February 5, 2001 |
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