Algebraic curve in the unit ball in C^2 passing through the center, all whose boundary components are arbitrarily short

dc.creatorOrevkov, S. Yu.
dc.date2005-11-23
dc.date.accessioned2026-07-07T06:51:40Z
dc.date.available2026-07-07T06:51:40Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0511592
dc.identifierhttp://arxiv.org/abs/math/0511592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105062
dc.subjectComplex Variables
dc.subjectGeometric Topology
dc.titleAlgebraic curve in the unit ball in C^2 passing through the center, all whose boundary components are arbitrarily short
dc.typetext

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