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Divisors on Burniat surfaces

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 نشر من قبل Valery Alexeev
 تاريخ النشر 2013
  مجال البحث
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 تأليف Valery Alexeev




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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 $2le K^2le 5$. 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 $K^2=6$.



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