C^2中单位球内通过中心的代数曲线，其边界分量任意短
Algebraic curve in the unit ball in C^2 passing through the center, all whose boundary components are arbitrarily short
摘要：
我们证明了标题中指出的曲线存在。这一结果回答了A.G.Vitushkin大约30年前提出的一个问题。本文还讨论了单位球上过中心曲线的边界分支的最小数目，条件是所有这些分支都小于给定的数目。更准确地说，我们讨论的增长的顺序的组件的数量，因为他们的最大长度趋于零。
英文摘要：
We prove that curves indicated in the title exist. This results answers to a question posed by A.G.Vitushkin about 30 years ago. We also discuss the minimal number of boundary components of a curve in the unit ball passing through the center, under the condition that all these components are shorter than a given number. More precisely, we discuss the order of growth of the number of the components as their maximal length tends to zero.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
