On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$

Do Duc Thai; Mai Anh Duc; Ninh Van Thu

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arXiv · 1310.7153

On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$

Do Duc Thai·Mai Anh Duc·Ninh Van Thu

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Abstract

In this paper, the conjecture on the Zalcmanness of $\mathbb C^n \ (n\geq 2)$ and $(\mathbb C^*)^2$, which is posed in \cite{Do}, is proved in the case where the derivatives of limit holomorphic curves are bounded. Moreover, several criteria for normality of families of holomorphic mappings are given.

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BibTeX RIS

Do Duc Thai, Mai Anh Duc, Ninh Van Thu. 2014-02-14. On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$. https://arxiv.org/abs/1310.7153

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