Real Algebraic and Analytic Geometry |

Fixed points of automorphisms of real algebraic curves.

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Submission: 2006, September 28.

*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.*

Mathematics Subject Classification (2000): 14H37, 14P25, 14P99.

Keywords and Phrases: Automorphisms, Real algebraic curves.

**Full text**, 21p.:
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