Degree of a holomorphic map between unit balls from <IMG BORDER="0" SRC="/proc/2006-134-04/S0002-9939-05-08476-5/gif-title0/img1.gif" > to <IMG BORDER="0" SRC="/proc/2006-134-04/S0002-9939-05-08476-5/gif-title0/img2.gif" >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Degree of a holomorphic map between unit balls from to

Authors:	Francine Meylan

Institution:	Institut de Mathématiques, Université de Fribourg, 1700 Perolles, Fribourg, Switzerland

Abstract:	Let be a rational proper holomorphic map between the unit ball in $\mathbb{C}^2$ and the unit ball in $\mathbb{C}^n.$ Write $\displaystyle f=\dfrac{(p_1, \dots, p_n)}{q},$ where $p_j, j=1, \dots,n,$ and are holomorphic polynomials, with $(p_1,\dots,p_{n},q)$ Recall that the degree of is defined by deg $\displaystyle f =$ $\displaystyle \text {max}\{\text{deg} (p_j)_{j=1,\dots,n}, \text{deg} q\}.$ In this paper, we give a bound estimate for the degree of improving the bound given by Forstneric (1989).

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