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On N-Th Roots of Meromorphic Maps

Revista Colombiana de Matemáticas/Revista colombiana de matematicas(2020)

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