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The monodromy group of a function on a general curve

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Abstract

LetC g be a general curve of genusg≥4. Guralnick and others proved that the monodromy group of a coverC g →ℙ1 of degreen is eitherS n orA n . We show thatA n occurs forn≥2g+1. The corresponding result forS n is classical.

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Authors and Affiliations

  1. Department of Mathematics, Wayne State University, 48202, Detroit, MI, USA

    Kay Magaard

  2. Department of Mathematics, University of Florida, 32611, Gainesville, FL, USA

    Helmut Völklein

Authors
  1. Kay Magaard
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  2. Helmut Völklein
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Corresponding author

Correspondence to Kay Magaard.

Additional information

Partially supported by NSA grant MDA-9049810020.

Partially supported by NSF grant DMS-0200225.

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Magaard, K., Völklein, H. The monodromy group of a function on a general curve. Isr. J. Math. 141, 355–368 (2004). https://doi.org/10.1007/BF02772228

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  • DOI: https://doi.org/10.1007/BF02772228

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