论文标题
卡尔森·格里菲斯(Carlson-Griffiths)的理论通过布朗运动
Carlson-Griffiths' theory via Brownian motion
论文作者
论文摘要
1970年代初,卡尔森·格里菲斯(Carlson-Griffiths)在Nevanlinna理论的研究中取得了重大进展,后者从$ \ Mathbb c^m $中设计了对霍明型映射的等级分布理论,成为一个构图的代数歧管相交的分支。在本文中,我们通过将源歧管$ \ mathbb c^m $概括为完成Kähler歧管来发展Carlson-Griffiths的理论。
Early in 1970s, Carlson-Griffiths made a significant progress in the study of Nevanlinna theory, who devised equi-distribution theory for holomorphic mappings from $\mathbb C^m$ into a projective algebraic manifold intersecting divisors. In this paper, we develop Carlson-Griffiths' theory by generalizing the source manifold $\mathbb C^m$ to complete Kähler manifolds.