论文标题
庞加尔类型的恒定标态曲率kähler指标的锥形近似
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type
论文作者
论文摘要
令$（x，l_x）$为两极分化，而$ d $为平滑的超曲面，以至于$ d \ in | l_x | $。 In this paper, we show that if there is no nontrivial holomorphic vector field on $D$ and ${\rm Aut}_0 ((X,L_X); D)$ is trivial, then constant scalar curvature Kähler metrics of Poincaré type on $X \setminus D$ can be approximated by constant scalar curvature Kähler metrics with cone singularities of sufficiently沿$ d $的小角度。该结果意味着$（（x，l_x）; d）$ a Gult 0的log k-semistability。
Let $(X,L_X)$ be a polarized manifold and $D$ be a smooth hypersurface such that $D \in | L_X |$. In this paper, we show that if there is no nontrivial holomorphic vector field on $D$ and ${\rm Aut}_0 ((X,L_X); D)$ is trivial, then constant scalar curvature Kähler metrics of Poincaré type on $X \setminus D$ can be approximated by constant scalar curvature Kähler metrics with cone singularities of sufficiently small angle along $D$. This result implies log K-semistability of $((X,L_X);D)$ with angle 0.
