Rational convexity of non generic immersed lagrangian submanifolds

J. Duval (1) , D. Gayet (2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 ICJ - Institut Camille Jordan

We prove that an immersed lagrangian submanifold in $\C^n$ with quadratic self-tangencies is rationally convex. This generalizes former results for the embedded and the immersed transversal cases.

Domaines: Variables complexes [math.CV]; Géométrie symplectique [math.SG]

J. Duval, D. Gayet. Rational convexity of non generic immersed lagrangian submanifolds. 2008. ⟨hal-00362807⟩