Rational convexity of non generic immersed lagrangian submanifolds

2008/06/17 by J. Duval, Duval, J., D. Gayet +1 · 1 citation
Mathematics · #32E20 #53D12 #Complex Variables (math.CV) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.CV #math.SG #msc:32E20 #msc:53D12

paper · pdf · doi:10.48550/arxiv.0806.2871

4 pages

arxiv created 2008/06/17 · arxiv updated 2009/12/01

Abstract

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

Cited by

• A complex-analytic characterization of Lagrangian immersions in \mathbb Cⁿ with transverse double points

Related

• Rational convexity of lagrangian immersed submanifolds
• A complex-analytic characterization of Lagrangian immersions in \mathbb Cⁿ with transverse double points
• Lagrangian inclusion with an open Whitney umbrella is rationally convex
• Rational approximation and Lagrangian inclusions
• Regularity for convex viscosity solutions of special Lagrangian equation