Counting Zariski chambers on Del Pezzo surfaces

JOURNAL OF ALGEBRA

卷:324

Article

Bauer, Thomas¹  Funke, Michael¹  Neumann, Sebastian² 

[1] Univ Marburg, Fachbereich Math & Informat, D-35032 Marburg, Germany

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

关键词: Zariski decomposition;    Chambers;    Big cone;    Del Pezzo;   

DOI  :  10.1016/j.jalgebra.2010.02.037

来源: Elsevier

【 摘 要 】

Zariski chambers provide a natural decomposition of the big cone of an algebraic surface into rational locally polyhedral subcones that are interesting from the point of view of linear series. In the present paper we present an algorithm that allows to effectively determine Zariski chambers when the negative curves on the surface are known. We show how the algorithm can be used to compute the number of chambers on Del Pezzo surfaces. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free