THE NORMALITY OF THE FAMILY OF HOLOMORPHIC MAPPINGS INTO THE COMPLEMENT OF A NEIGHBORHOOD OF A HYPERSURFACE IN THE COMPLEX PROJECTIVE SPACE
DOI:
https://doi.org/10.18173/2354-1059.2025-0003Keywords:
normal family, Nevanlinna theory, hyperbolicityAbstract
In 1907, Paul Montel raised the concept of normal family of meromorphic functions. The high-dimensional version of Montel theorem was first studied by Tu Zhenhan in 1999. In this paper, we examine the normality of the family of holomorphic mappings from a domain \(\, D \subset \mathbb{C}^m \,\) into the complement of the \(\, \epsilon \)-neighborhood of a hypersurface in the complex projective space \(\, \mathbb{P}^n(\mathbb{C}) \,\) (with the Fubini–Study distance \(\, d_{\mathrm{FS}} \)).
References
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