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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 135–157
(Mi tm90)
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This article is cited in 3 scientific papers (total in 3 papers)
Algebraic Curve in the Unit Ball in $\mathbb C^2$ That Passes through the Origin and All of Whose Boundary Components Are Arbitrarily Short
S. Yu. Orevkov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
A negative answer is given to the following question of A. G. Vitushkin: Does there exist a nontrivial lower bound for the length of the maximal component of intersection of the unit sphere and an algebraic curve passing through the origin.
Received in October 2005
Citation:
S. Yu. Orevkov, “Algebraic Curve in the Unit Ball in $\mathbb C^2$ That Passes through the Origin and All of Whose Boundary Components Are Arbitrarily Short”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 135–157; Proc. Steklov Inst. Math., 253 (2006), 123–143
Linking options:
https://www.mathnet.ru/eng/tm90 https://www.mathnet.ru/eng/tm/v253/p135
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Statistics & downloads: |
Abstract page: | 276 | Full-text PDF : | 82 | References: | 51 |
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