English

Fully faithful Fourier-Mukai functors and generic vanishing

Algebraic Geometry 2016-05-27 v1

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.

Keywords

Cite

@article{arxiv.1605.08214,
  title  = {Fully faithful Fourier-Mukai functors and generic vanishing},
  author = {Giuseppe Pareschi},
  journal= {arXiv preprint arXiv:1605.08214},
  year   = {2016}
}

Comments

In memory of Alexandru T. Lascu