Fixed points of automorphisms of real algebraic curves

Details Fixed points of automorphisms of real algebraic curves Fixed points of automorphisms of real algebraic curves

2006-09-28

arxiv.org/abs/math/0609811v1

Mathematics

Algebraic Geometry

Scientific paper

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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