Mumford curves with maximal automorphism group
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- by Gunther Cornelissen and Fumiharu Kato PDF
- Proc. Amer. Math. Soc. 132 (2004), 1937-1941 Request permission
Abstract:
A Mumford curve of genus $g \notin \{0,1,5,6,7,8 \}$ over a non-Archimedean valued field of characteristic $p>0$ has at most $2 \sqrt {g} (\sqrt {g}+1)^2$ automorphisms. In this note, the unique family of curves that attains this bound, and its automorphism group, are determined.References
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Additional Information
- Gunther Cornelissen
- Affiliation: Mathematisch Instituut, Universiteit Utrecht, Postbus 80.010, 3508 TA Utrecht, Nederland
- MR Author ID: 368066
- Email: cornelis@math.uu.nl
- Fumiharu Kato
- Affiliation: Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
- Email: kato@math.kyoto-u.ac.jp
- Received by editor(s): December 21, 2000
- Received by editor(s) in revised form: April 18, 2003
- Published electronically: January 30, 2004
- Additional Notes: This work was done when the first author was visiting Kyoto University. The main result of this paper answers positively a question posed by T. Sekiguchi during the 2000 Kinosaki Symposium on Algebraic Geometry
- Communicated by: Michael Stillman
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1937-1941
- MSC (2000): Primary 14H37, 14G22
- DOI: https://doi.org/10.1090/S0002-9939-04-07379-4
- MathSciNet review: 2053963