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arXiv · 2006.04572

Nevanlinna-type theory based on heat diffusion

Xianjing Dong
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Abstract

We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.

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Xianjing Dong. 2020-06-05. Nevanlinna-type theory based on heat diffusion. https://arxiv.org/abs/2006.04572

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