论文标题
紧凑型kahler歧管上的一系列线束序列的随机全态切片系统的差异估计值
Variance Estimate of Systems of Random Holomorphic Sections in a Sequence of Line Bundles on Compact Kahler Manifolds
论文作者
论文摘要
This paper primarily concerns the variance estimate of zeros of systems of random holomorphic sections associated with a sequence of smooth Hermitian holomorphic line bundles on a compact Kahler manifold X. The probability measures taken into consideration in this paper satisfy a certain condition which makes it much more general(possibly the most general) than (all) the measures mostly studied in the literature.特别是我们还提供了几种已知措施(例如高斯和福比尼研究措施)的方差估计。
This paper primarily concerns the variance estimate of zeros of systems of random holomorphic sections associated with a sequence of smooth Hermitian holomorphic line bundles on a compact Kahler manifold X. The probability measures taken into consideration in this paper satisfy a certain condition which makes it much more general(possibly the most general) than (all) the measures mostly studied in the literature. In particular we also give variance estimates for several known measures such as Gaussian and Fubini-Study measures.