English

Carlson-Griffiths' theory via Brownian motion

Complex Variables 2021-06-07 v9 Algebraic Geometry Probability

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 Cm\mathbb C^m into a projective algebraic manifold intersecting divisors. In this paper, we develop Carlson-Griffiths' theory by generalizing the source manifold Cm\mathbb C^m to complete K\"ahler manifolds.

Cite

@article{arxiv.2001.01679,
  title  = {Carlson-Griffiths' theory via Brownian motion},
  author = {Xianjing Dong},
  journal= {arXiv preprint arXiv:2001.01679},
  year   = {2021}
}

Comments

revised version. arXiv admin note: text overlap with arXiv:2012.10955

R2 v1 2026-06-23T13:04:08.842Z