The monodromy group of a function on a general curve

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Let C_g be a general curve of genus g>3. Guralnick and others proved that the
monodromy group of a cover C_g-> P^1 of degree n is either S_n or A_n. We show
that A_n occurs for n>2g. The corresponding result for S_n is classical.

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