Divisors on Burniat surfaces

Valery Alexeev

Divisors on Burniat surfaces

Algebraic Geometry 2013-11-26 v2

Authors: Valery Alexeev

Abstract

In this short note, we extend the results of [Alexeev-Orlov, 2012] about Picard groups of Burniat surfaces with $K^2=6$ to the cases of $2\le K^2\le 5$ . We also compute the semigroup of effective divisors on Burniat surfaces with $K^2=6$ . Finally, we construct an exceptional collection on a nonnormal semistable degeneration of a 1-parameter family of Burniat surfaces with $K^2=6$ .

Keywords

del pezzo surfaces algebraic surfaces

Cite

@article{arxiv.1309.4702,
  title  = {Divisors on Burniat surfaces},
  author = {Valery Alexeev},
  journal= {arXiv preprint arXiv:1309.4702},
  year   = {2013}
}

Comments

v.2: small correction for the $K^2=2$ case

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