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arXiv · 2012.06758

Improvements to the Montel-Carath\'eodory Theorem for families of $\mathbb{P}^n$-valued holomorphic curves

Gopal Datt
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Abstract

In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain $D\subseteq\mathbb{C}$ into $\mathbb{P}^n$ to be normal. Our results are improvements to the Montel-Carath\'eodory Theorem for a family of $\mathbb{P}^n$-valued holomorphic curves.

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Gopal Datt. 2020-12-12. Improvements to the Montel-Carath\'eodory Theorem for families of $\mathbb{P}^n$-valued holomorphic curves. https://doi.org/10.1080/17476933.2024.2310218

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