Minkowski decomposition of Okounkov bodies on surfaces

JOURNAL OF ALGEBRA

卷:414

Article

Luszcz-Swidecka, Patrycja¹  Schmitz, David² 

[1] Jagiellonian Univ, Inst Math, PL-30438 Krakow, Poland

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

关键词: Okounkov body;    Minkowski decomposition;    Zariski chamber;   

DOI  :  10.1016/j.jalgebra.2014.05.024

来源: Elsevier

【 摘 要 】

We prove that the Okounkov body of a big divisor with respect to a general flag on a smooth projective surface whose pseudo-effective cone is rational polyhedral decomposes as the Minkowski sum of finitely many simplices and line segments arising as Okounkov bodies of nef divisors. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free