Abstract

GARCIA, Juan C.  and  HIDALGO, Rubén A.. On n-th roots of meromorphic maps. Rev.colomb.mat. [online]. 2020, vol.54, n.1, pp.65-74. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n1.89789.

Let S be a connected Riemann surface and let φ: S → Ĉ be branched covering map of finite type. If n ≥ 2, then we describe a simple geometrical necessary and sufficient condition for the existence of some n-th root, that is, a meromorphic map ψ: S → Ĉ such that φ = ψ n .

Keywords : Riemann surfaces; holomorphic branched coverings; maps.

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