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arXiv · 2001.01679

Carlson-Griffiths' theory via Brownian motion

Xianjing Dong
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Abstract

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 K\"ahler manifolds.

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Xianjing Dong. 2020-01-06. Carlson-Griffiths' theory via Brownian motion. https://arxiv.org/abs/2001.01679

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