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arXiv · 2307.16595

A note on Fujimoto's uniqueness theorem with $(2n+3)$ hyperplanes

Kai Zhou
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Abstract

Hirotaka Fujimoto proved in [Nagoya Math. J., 1976(64): 117--147] and [Nagoya Math. J., 1978(71): 13--24] a uniqueness theorem for algebraically non-degenerate meromorphic maps into $\mathbb{P}^n(\mathbb{C})$ sharing $(2n+3)$ hyperplanes in general position. The proof of Lemma 3.6 in [Nagoya Math. J., 1976(64): 117--147] is found to contain a mistake. This mistake can be corrected easily from a new point of view. This note explains the idea of the correction and provides a complete proof.

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Kai Zhou. 2023-07-31. A note on Fujimoto's uniqueness theorem with $(2n+3)$ hyperplanes. https://arxiv.org/abs/2307.16595

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