Minkowski decomposition of Okounkov bodies on surfaces
Minkowski decomposition of Okounkov bodies on surfaces
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曲面上奥孔科夫体的闵可夫斯基分解
DOI：
10.1016/j.jalgebra.2014.05.024
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Schmitz
中科院分区：
文献类型：
--
作者：
Luszcz-Swidecka;Schmitz
证明了在伪有效锥为有理多面体的光滑射影曲面上，关于一般标志的大因子的Okounkov体分解为由Nef因子的Okounkov体所产生的多个单形和线段的Minkowski和.
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.