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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Construction of covers in positive characteristic via degeneration
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by Irene I. Bouw PDF
Proc. Amer. Math. Soc. 137 (2009), 3169-3176 Request permission

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
  • Received by editor(s): September 13, 2007
  • Published electronically: June 3, 2009
  • Communicated by: Ted Chinburg
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3169-3176
  • MSC (2000): Primary 14H30, 14H10
  • DOI: https://doi.org/10.1090/S0002-9939-09-10013-8
  • MathSciNet review: 2515387