Exponential estimate for the asymptotics of Bergman kernels
Exponential estimate for the asymptotics of Bergman kernels
复制标题
伯格曼核渐近性的指数估计
DOI：
10.1007/s00208-014-1137-0
复制
发表时间：
2015-08-01
影响因子：
1.4
通讯作者：
Marinescu, George
中科院分区：
文献类型：
--
作者：
Ma, Xiaonan;Marinescu, George
在有界几何的假设下，我们证明了正线性丛的Bergman核的渐近性的指数估计。进一步，我们给出了点的分离性、局部坐标的存在性和全纯凸性等复几何结果的Bergman核证明。
We prove an exponential estimate for the asymptotics of Bergman kernels of a positive line bundle under hypotheses of bounded geometry. Further, we give Bergman kernel proofs of complex geometry results, such as separation of points, existence of local coordinates and holomorphic convexity by sections of positive line bundles.