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Fourie-Mukai TransformHeuristic behind the Fourier-Mukai transform

What is the heuristic idea behind the Fourier-Mukai Transformtransform? That What is the connection to say, why such a the classical Fourier transformhas that name and so. ?

Moreover, Could could someone recommend a concise introduction to the subject?

show/hide this revision's text 1

Fourie-Mukai Transform

What is the heuristic idea behind the Fourier-Mukai Transform? That is to say, why such a transform has that name and so. Moreover, Could someone recommend a concise introduction to the subject?