Departmental Bulletin Paper ON LIMIT BRODY CURVES IN C^n AND (C∗)^2

Do, Duc Thai  ,  Mai, Anh Duc  ,  Ninh, Van thu

69 ( 1 )  , pp.111 - 123 , 2015-06-09 , Faculty of Mathematics, Kyushu University
In this paper, the conjecture on the Zalcmanness of C^n (n ≥ 2) and (C∗)^2, whichis posed in our previous work, 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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