论文标题
多能理论稳定性阈值
Pluripotential-theoretic stability thresholds
论文作者
论文摘要
考虑到紧凑的偏光歧管$（x，l）$，我们在$ x $上介绍了奇异类型的全球Quasi-plurisubharmonic函数的两个新稳定阈值。我们证明，在Fano设置中，新的不变式可以有效地检测到$ x $的K稳定性。我们通过相应的测试曲线研究了Kähler电位空间中测量光线的一些功能。特别是，我们引入了一个新的Quasi-plurisubharmonic函数的熵功能，并将径向熵功能与此新的熵功能相关联。
Given a compact polarized manifold $(X,L)$, we introduce two new stability thresholds in terms of singularity types of global quasi-plurisubharmonic functions on $X$. We prove that in the Fano setting, the new invariants can effectively detect the K-stability of $X$. We study some functionals of geodesic rays in the space of Kähler potentials by means of the corresponding test curves. In particular, we introduce a new entropy functional of quasi-plurisubharmonic functions and relate the radial entropy functional to this new entropy functional.
