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TOPOLOGIE DES ($M - 2$)-COURBES RÉELLES SYMÉTRIQUES
Published online by Cambridge University Press: 20 March 2003
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.
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- © The London Mathematical Society 2003
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