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I have "generic" questions about Fourier-Mukai transforms.

Question 1: Does there exist a well-defined notion of Fourier-Mukai transform on (Deligne-Mumford) stacks?

Question 2: Do there exist papers in which this notion is deeply studied?

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Perhaps, arxiv.org/abs/math/0210439 would help? – S. Okada Apr 26 '12 at 12:36
    

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