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Fixed points of automorphisms of real algebraic curves.

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.
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https://hal.archives-ouvertes.fr/hal-00102047
Contributor : Jean-Philippe Monnier <>
Submitted on : Thursday, September 28, 2006 - 5:28:59 PM
Last modification on : Monday, March 9, 2020 - 6:15:51 PM
Document(s) archivé(s) le : Tuesday, April 6, 2010 - 1:16:20 AM

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Jean-Philippe Monnier. Fixed points of automorphisms of real algebraic curves.. 2006. ⟨hal-00102047⟩

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