Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves

In this thesis we study Fourier-Mukai transforms for complex projective surfaces. Extending work of A.I. Bondal and D.O. Orlov, we prove a theorem giving necessary and sufficient conditions for a functor between the derived categories of sheaves on two smooth projective varieties to be an equivalenc...

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Bibliographic Details
Main Author: Bridgeland, Tom
Published: University of Edinburgh 2002
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.641936