Jean-Philippe Monnier
Published 2006-09-28Version 1
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.
Pseudo-real principal $G$-bundles over a real curve
Measuring the local non-convexity of real algebraic curves
Very special divisors on real algebraic curves
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