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arxiv: 1109.3083 · v2 · pith:UCX7K3OOnew · submitted 2011-09-14 · 🧮 math.AG

Fourier-Mukai functors: a survey

classification 🧮 math.AG
keywords fourier--mukaifunctorfunctorsansweredboundedcategoriescoherentdeal
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This paper surveys some recent results about Fourier--Mukai functors. 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.

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