Solution of the Hurwitz problem for Laurent polynomials

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In 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.
final version, to appear in the Journal of Knot Theory and Ramifications

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Geometric Topology, Complex Variables, 57M12

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http://salesiana.dossiersoluciones.com/handle/123456789/143804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611776
 http://arxiv.org/abs/math/0611776

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arXiv