Fixed points of automorphisms of real algebraic curves |
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Authors: | Jean-Philippe Monnier |
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Affiliation: | (1) Département de Mathématiques, Université d’Angers, 2, Bd. Lavoisier, 49045 Angers cedex 01, France |
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Abstract: | We bound the number of fixed points of an automorphism of a real curve in terms of the genus and the number of connected components of the real part of the curve. Using this bound, we derive some consequences concerning the maximum order of an automorphism and the maximum order of an abelian group of automorphisms of a real curve. We also bound the full group of automorphisms of a real hyperelliptic curve. Work supported by the European Community’s Human Potential Programme under contract HPRN-CT-2001-00271, RAAG. |
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Keywords: | 14H37 14P25 14P99 |
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