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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Construction of covers in positive characteristic via degeneration


Author: Irene I. Bouw
Journal: Proc. Amer. Math. Soc. 137 (2009), 3169-3176
MSC (2000): Primary 14H30, 14H10
Published electronically: June 3, 2009
MathSciNet review: 2515387
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Abstract: In this paper we construct examples of covers of the projective line in positive characteristic such that every degeneration is inseparable. The result illustrates that it is not possible to construct all covers of the generic $ r$-pointed curve of genus zero inductively from covers with a smaller number of branch points.


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Additional Information

Irene I. Bouw
Affiliation: Institut für Reine Mathematik, Helmholtzstraße 18, D-89069 Ulm, Germany
Email: irene.bouw@uni-ulm.de

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10013-8
PII: S 0002-9939(09)10013-8
Received by editor(s): September 13, 2007
Published electronically: June 3, 2009
Communicated by: Ted Chinburg
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.