Carlson-Griffiths' theory via Brownian motion

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

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