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 $K^2=6$.
Information
Published: 1 January 2016
First available in Project Euclid: 4 October 2018
zbMATH: 1369.14050
MathSciNet: MR3586510
Digital Object Identifier: 10.2969/aspm/06910287
Subjects:
Primary:
14J10
,
14J29
,
18E30
Keywords:
Burniat surfaces
,
derived categories
,
exceptional collections
Rights: Copyright © 2016 Mathematical Society of Japan
