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A Note on Planarity Stratification of Hurwitz Spaces

A Note on Planarity Stratification of Hurwitz Spaces

Abstract One can easily show that any meromorphic function on a complex closed Riemann surface can be represented as a composition of a birational map of this surface to โ„‚โ„™ 2 and a projection of the image curve froman appropriate point p โˆŠ โ„‚โ„™ 2 to the pencil of lines โ€ฆ