Fourier–Mukai functors: a survey

  • Alberto Canonaco

    Università degli Studi di Pavia, Italy
  • Paolo Stellari

    Università degli Studi di Milano, Italy
Fourier–Mukai functors: a   survey cover
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In this article some recent results about Fourier–Mukai functors are reported. In particular, given an exact functor between the bounded derived categories of coherent sheaves on two smooth projective varieties, we deal with the question whether this functor is of Fourier–Mukai type. Several related questions are answered and many open problems are stated.