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arxiv: 1310.7153 · v2 · pith:YYQKUOM2new · submitted 2013-10-27 · 🧮 math.CV

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

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keywords mathbbcurvesholomorphiclimitboundedbrodycasecite
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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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