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

preprint2014arXivOpen access

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

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On limit Brody curves in Cn\mathbb C^nCn and (C∗)2(\mathbb C^*)^2(C∗)2

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