Solution of the Hurwitz problem for Laurent polynomials

dc.creatorPakovich, F.
dc.date2006-11-25
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:48:02Z
dc.date.available2026-07-07T08:48:02Z
dc.descriptionIn this paper we investigate the following existence problem for rational functions: for a given collection $Π$ of partitions of a number $n$ to define whether there exists a rational function $f$ of degree $n$ for which $Π$ is the branch datum. An important particular case when the answer to this problem is known is the one when the collection $Π$ contains a partition consisting of a single element (in this case the corresponding rational function is equivalent to a polynomial). In this paper we provide a solution in the case when $Π$ contains a partition consisting of two elements.
dc.descriptionfinal version, to appear in the Journal of Knot Theory and Ramifications
dc.identifierhttps://arxiv.org/abs/math/0611776
dc.identifierhttp://arxiv.org/abs/math/0611776
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143804
dc.subjectGeometric Topology
dc.subjectComplex Variables
dc.subject57M12
dc.titleSolution of the Hurwitz problem for Laurent polynomials
dc.typetext

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