The monodromy group of a function on a general curve

LetCg be a general curve of genusg≥4. Guralnick and others proved that the monodromy group of a coverCg→ℙ1 of degreen is eitherSn orAn. We show thatAn occurs forn≥2g+1. The corresponding result forSn is classical.

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Bibliographic Details
Published in:Israel journal of mathematics 2004-01, Vol.141 (1), p.355-368
Main Authors: Magaard, Kay, Völklein, Helmut
Format: Article
Language:English
Subjects:
Mathematics
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Summary:LetCg be a general curve of genusg≥4. Guralnick and others proved that the monodromy group of a coverCg→ℙ1 of degreen is eitherSn orAn. We show thatAn occurs forn≥2g+1. The corresponding result forSn is classical.
ISSN:0021-2172
1565-8511
DOI:10.1007/BF02772228