November 9, 2025Open Access

Lemma on logarithmic derivative over directed manifolds

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The generalization of Ahlfors' lemma achieves a new form for logarithmic derivative applications.
Results reveal insights into holomorphic tangent curves and their connections to directed projective manifolds.
Analysis focused on the AALD and GAALD and their transforms reveals important algebraic structures.
This work suggests potential advancements in understanding algebraic geometry and its theorems relative to holomorphic curves.

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Generalization of Ahlfors' lemma finds new insights for holomorphic tangent curves, indicating implications for algebraic geometry.

Peiqiang Lin (2025) studied this question.

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