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arXiv · 2311.07360

Nevanlinna Theory of Algebroid Functions on Complete K\"ahler Manifolds

Xianjing Dong
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Abstract

In this paper, we generalize the classical Nevanlinna theory of algebroid functions from $\mathbb C$ to a complete K\"ahler manifold with either non-negative Ricci curvature or non-positive sectional curvature. As its applications, we establish some Picard type theorems and five-value type theorems for algebroid functions under certain conditions.

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Xianjing Dong. 2023-11-13. Nevanlinna Theory of Algebroid Functions on Complete K\"ahler Manifolds. https://arxiv.org/abs/2311.07360

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