Algebraic curve in the unit ball in ℂ2 that passes through the origin and all of whose boundary components are arbitrarily short |
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| Authors: | S. Yu. Orevkov |
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| Affiliation: | (1) Université Paul Sabatier (Toulouse III), 118 Route de Narbonne, F-31062 Toulouse cedex 4, France;(2) Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia |
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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. Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Vol. 253, pp. 135–157. To the memory of Anatolii Georgievich Vitushkin |
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