论文标题
具有更高时刻的估值不变性
Valuative invariants with higher moments
论文作者
论文摘要
在本文中，我们介绍了一个根据预期消失的订单的$ p $ then时刻定义的估值不变性家族。这些不变的位于$α$和$δ$ -Invariants之间。它们在大圆锥体中不断变化，在家庭中半连接。最重要的是，他们可以检测出Fano品种的K稳定性，该品种概括了文献中的$α$和$δ$标准。它们也与最大测量光线的$ d_p $ - 几何相关。
In this article we introduce a family of valuative invariants defined in terms of the $p$-th moment of the expected vanishing order. These invariants lie between $α$ and $δ$-invariants. They vary continuously in the big cone and semi-continuously in families. Most importantly, they can detect the K-stability of Fano varieties, which generalizes the $α$ and $δ$-criterions in the literature. They are also related to the $d_p$-geometry of maximal geodesic rays.
