高阶矩赋值不变量
Valuative invariants with higher moments
摘要：
在这篇文章中，我们介绍了一个家庭的赋值不变量定义的$p$次矩的预期消失的顺序。这些不变量位于$α$和$δ$ -不变量之间。它们在大锥内连续变化，在家系内半连续变化。最重要的是，它们可以检测Fano品种的K-稳定性，这推广了文献中的$α$和$δ$ -判据。它们也与最大测地线射线的$d_p$ -几何有关。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
