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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 135–157 (Mi tm90)  
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
Full-text PDF (483 kB) Citations (3)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 123–143
DOI: https://doi.org/10.1134/S008154380602012X
Bibliographic databases:
Document Type: Article
UDC: 512.772+515.173.2
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Ore06}
\by S.~Yu.~Orevkov
\paper Algebraic Curve in the Unit Ball in $\mathbb C^2$ That Passes through the Origin and All of Whose Boundary Components Are Arbitrarily Short
\inbook Complex analysis and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 253
\pages 135--157
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm90}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338694}
\zmath{https://zbmath.org/?q=an:1351.32016}
\elib{https://elibrary.ru/item.asp?id=13530380}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\pages 123--143
\crossref{https://doi.org/10.1134/S008154380602012X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748319346}
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    • This publication is cited in the following 3 articles:
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