arXiv 2001.016792020-01math.CVmath.AGmath.PR

Carlson-Griffiths' theory via Brownian motion

Xianjing Dong

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

英文摘要：

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.

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