An interpolation theorem for proper holomorphic embeddings

被引：0
作者：
Franc Forstnerič
Björn Ivarsson
Frank Kutzschebauch
Jasna Prezelj
机构：
[1] University of Ljubljana,Institute of Mathematics, Physics and Mechanics
[2] University of Bern,Institute of Mathematics
来源：
Mathematische Annalen | 2007年 / 338卷
关键词：
32C22; 32E10; 32H05; 32M17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a Stein manifold x of dimension n > 1, a discrete sequence \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{a_j\}\subset X$$\end{document}, and a discrete sequence \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{b_j\}\subset \mathbb{C}^{m}$$\end{document} where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m\ge N=\left[\frac{3n}{2}\right] + 1$$\end{document}, there exists a proper holomorphic embedding \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\colon X\hookrightarrow \mathbb{C}^{m}$$\end{document} satisfying f(aj) = bj for every j = 1,2,...
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页码：545 / 554
页数：9
相关论文
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