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Proceedings of the American Mathematical Society
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Algebraic functions with even monodromy

Author(s): Michela Artebani; Gian Pietro Pirola
Journal: Proc. Amer. Math. Soc. 133 (2005), 331-341.
MSC (2000): Primary 14H05; Secondary 14H30, 14H10.
Posted: September 16, 2004
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Abstract | References | Similar articles | Additional information

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 $A_d.$


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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
Email: artebani@dimat.unipv.it

Gian Pietro Pirola
Affiliation: Dipartimento di Matematica ``F. Casorati'', Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italia
Email: pirola@dimat.unipv.it

DOI: 10.1090/S0002-9939-04-07713-5
PII: S 0002-9939(04)07713-5
Keywords: Monodromy group, spin bundle, even monodromy.
Received by editor(s): April 17, 2003
Posted: September 16, 2004
Additional Notes: This work was partially supported by: 1) PRIN 2003: {\em Spazi di moduli e teoria di Lie}; 2) Gnsaga; 3) Far 2002 (PV): {\em Varietá algebriche, calcolo algebrico, grafi orientati e topologici}
Communicated by: Michael Stillman
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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