Let X be a compact Riemann surface of genus g and d>= 12g+4 be an integer. We show that X admits meromorphic functions with monodromy group equal to the alternating group A_d.
Algebraic functions with even monodromy / Michela Artebani, Gian Pietro Pirola. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 133:2(2005), pp. 331-341.
Algebraic functions with even monodromy
Michela Artebani;
2005
Abstract
Let X be a compact Riemann surface of genus g and d>= 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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