论文标题
关键的fubini研究指标
Critical Fubini-Study metrics over non-archimedean fields
论文作者
论文摘要
在非架构的本地位置上，相对于配备有福比尼 - 研究指标的非常宽敞的线条捆绑的投影品种的高度与其杂物形式的天真高度有关。我们使用非Archimedean Kempf-度标准，我们表征了Fubini-study指标，这些指标可将特殊线性作用的高度最小化，以其Monge-Ampère的多面体而言。可以将该多层构造为其非Archimedean Bergman的功能，也可以作为其在Chow形式上的残留作用的重量多层。它与多肌膜有关。
Over a non-archimedean local place, the height of a projective variety with respect to a very ample line bundle equipped with a Fubini-Study metric is related to the naive height of its Chow form. Using a non-Archimedean Kempf-Ness criteria, we characterize Fubini-Study metrics that minimize the height under the special linear action in terms of their Monge-Ampère polytopes. This polytope can be constructed either as its non-Archimedean Bergman functional or as the weight polytope for the residual action on its Chow form; it is associated with a polymatroid.
