Algebraic functions with even monodromy

Artebani, Michela; Pirola, Gian

doi:10.1090/S0002-9939-04-07713-5

Algebraic functions with even monodromy
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by Michela Artebani and Gian Pietro Pirola PDF

Proc. Amer. Math. Soc. 133 (2005), 331-341 Request permission

Abstract:

Let $X$ be a compact Riemann surface of genus $g$ and $d\geq 12g+4$ be an integer. We show that $X$ admits meromorphic functions with monodromy group equal to the alternating group $A_d.$

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