Geodesic
Visualizing Algebraic Curves: from Riemann to Grothendieck
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 42-51

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We consider the smallest possible ramification. The corresponding pairs are represented by only finite set of points in the individual Hurwitz space, but the set of Riemann surfaces admitting the meromorphic functions with the smallest possible number of critical values is dense in the moduli space.
Keywords: Riemann surface, algebraic curves, Hurwitz space. 
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George B. Shabat. Visualizing Algebraic Curves: from Riemann to Grothendieck. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 42-51. http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a4/