English

No full exceptional collections on non-split Brauer--Severi varieties of dimension $\leq 3$

Algebraic Geometry 2016-03-29 v1

Abstract

In an earlier paper we showed that non-split Brauer--Severi curves do not admit full strong exceptional collections. In the present note we extend this observation and prove that there cannot exist full exceptional collections on non-split Brauer--Severi varieties of dimension 3\leq 3.

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Cite

@article{arxiv.1603.08373,
  title  = {No full exceptional collections on non-split Brauer--Severi varieties of dimension $\leq 3$},
  author = {Saša Novaković},
  journal= {arXiv preprint arXiv:1603.08373},
  year   = {2016}
}

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