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VOL. 69 | 2016 Divisors on Burniat surfaces
Valery Alexeev

Editor(s) Osamu Fujino, Shigeyuki Kondō, Atsushi Moriwaki, Masa-Hiko Saito, Kōta Yoshioka

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

Rights: Copyright © 2016 Mathematical Society of Japan

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