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arXiv · 1605.08214

Fully faithful Fourier-Mukai functors and generic vanishing

Giuseppe Pareschi
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Abstract

The aim of this mainly expository note is to point out that, given an Fourier-Mukai functor, the condition making it fully faithful is an instance of \emph{generic vanishing}. We test this point of view on some fairly classical examples, including the strong simplicity criterion of Bondal and Orlov, the standard flip and the Mukai flop.

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Giuseppe Pareschi. 2016-05-26. Fully faithful Fourier-Mukai functors and generic vanishing. https://arxiv.org/abs/1605.08214

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