English

Some remarks on the group of derived autoequivalences

Algebraic Geometry 2009-07-23 v1

Abstract

We prove that the neutral component of the group of derived autoequivalences of a smooth projective variety is the semi-direct product of the neutral component of its Picard group and its group of automorphisms. We use this result to prove several results concerning pairs of derived equivalent varieties.

Keywords

Cite

@article{arxiv.0907.3880,
  title  = {Some remarks on the group of derived autoequivalences},
  author = {Fabrice Rosay},
  journal= {arXiv preprint arXiv:0907.3880},
  year   = {2009}
}

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8 pages