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 $A_d.$References
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Additional Information
- Michela Artebani
- Affiliation: Dipartimento di Matematica “DIMA”, Universitá di Genova, via Dodecaneso 35, 16146 Genova, Italia
- Address at time of publication: Dipartimento di Matematica “F. Casorati”, Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italia
- MR Author ID: 744997
- Email: artebani@dimat.unipv.it
- Gian Pietro Pirola
- Affiliation: Dipartimento di Matematica “F. Casorati”, Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italia
- MR Author ID: 139965
- Email: pirola@dimat.unipv.it
- Received by editor(s): April 17, 2003
- Published electronically: September 16, 2004
- Additional Notes: This work was partially supported by: 1) PRIN 2003: Spazi di moduli e teoria di Lie; 2) Gnsaga; 3) Far 2002 (PV): Varietá algebriche, calcolo algebrico, grafi orientati e topologici
- Communicated by: Michael Stillman
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 331-341
- MSC (2000): Primary 14H05; Secondary 14H30, 14H10
- DOI: https://doi.org/10.1090/S0002-9939-04-07713-5
- MathSciNet review: 2093052