Complex surfaces with equivalent derived categories
arXiv:1909.08968
Abstract
We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). 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) --> D(X).
This paper was first published in 2001. We post it on the arXiv now to correct an error in Section 6 (see the footnote on page 18)