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TOPOLOGIE DES ($M - 2$)-COURBES RÉELLES SYMÉTRIQUES

Published online by Cambridge University Press:  20 March 2003

SÉBASTIEN TRILLES
SÉBASTIEN TRILLES
Affiliation:
Laboratoire Emile Picard, 20 Bis Rue Leon Soulié, 31400 Toulouse, Francetrille@picard.ups.tlse.fr
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Abstract

Let $X$ be a non-singular real algebraic curve in ${\rm C\!\!\!I}P^2$ of even degree. In this paper a refinement is proved of a theorem of Kharlamov about ($M - 2$)-curves that are invariants under the projective involution. In particular, if the ($M - 2$)-symmetric curve $X$ satisfies the Arnold congruence, then either $X$ or its twin is a separating curve.

Keywords

14P25
Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 2 , March 2003 , pp. 161 - 178
Copyright
© The London Mathematical Society 2003

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