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arXiv · 2511.20536

A Generalization of Zalcman's Lemma on Complex Lie Groups

Xianjing Dong·Yanda Lv
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Abstract

Zalcman's Lemma makes significant applications in normal families, complex dynamics and related problems in complex analysis. In the present paper, we are devoted to generalizing the classical Zalcman's lemma to complex Lie groups by means of exponential mappings defined by holomorphic one-parameter subgroups.

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Xianjing Dong, Yanda Lv. 2025-11-25. A Generalization of Zalcman's Lemma on Complex Lie Groups. https://arxiv.org/abs/2511.20536

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