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Nevanlinna Theory of Algebroid Functions on Complete Kähler Manifolds (2311.07360v11)
Published 13 Nov 2023 in math.CV
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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