Derived-equivalent rational threefolds

John Lesieutre

Derived-equivalent rational threefolds

Algebraic Geometry 2013-11-04 v1

Authors: John Lesieutre

Abstract

We describe an infinite set of smooth projective threefolds that have equivalent derived categories but are not isomorphic, contrary to a conjecture of Kawamata. These arise as blow-ups of $\mathbb P^3$ at various configurations of 8 points, which are related by Cremona transformations.

Keywords

manifolds blow-up smooth 4-manifolds

Cite

@article{arxiv.1311.0056,
  title  = {Derived-equivalent rational threefolds},
  author = {John Lesieutre},
  journal= {arXiv preprint arXiv:1311.0056},
  year   = {2013}
}

Comments

6 pages; author appreciates any comments or suggestions

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