Sur l'analyticité des applications CR lisses à valeurs dans un ensemble algébrique réel

Abstract

Let f: M→ M′ be a C ∞ -smooth CR mapping between a generic real analytic submanifold M⊂ C n and a real algebraic subset M′⊂ C n′ . We prove that if M is minimal at a point p and if M′ does not contain complex curves, then f is real-analytic at p. To cite this article: B. Coupet et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 953–956.