论文标题

关于在复曲面上的估值半群的有限生成

On the finite generation of valuation semigroups on toric surfaces

论文作者

Altmann, Klaus, Haase, Christian, Küronya, Alex, Schaller, Karin, Walter, Lena

论文摘要

我们提供了一个组合标准,用于在光滑的复曲面上与足够的除数相关的有限产生的评估半群,并具有最大等级的非表面估值。作为一种应用,我们构建了一个晶格多层,因此,没有一个来自一个参数亚组的相关偏光型感谢您的偏光倍率品种的估值半群,并以非态度为中心。

We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maximal rank. As an application, we construct a lattice polytope such that none of the valuation semigroups of the associated polarized toric variety coming from one-parameter subgroups and centered at a non-toric point are finitely generated.

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