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Rational convexity of non-generic immersed Lagrangian submanifolds

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Abstract

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.

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Authors and Affiliations

  1. Laboratoire de Mathématique, Université Paris-Sud, 91405, Orsay Cedex, France

    Julien Duval

  2. Université de Lyon, Université Lyon 1, Institut Camille Jordan, 69622, Villeurbanne Cedex, France

    Damien Gayet

Authors
  1. Julien Duval
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  2. Damien Gayet
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Correspondence to Julien Duval.

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Duval, J., Gayet, D. Rational convexity of non-generic immersed Lagrangian submanifolds. Math. Ann. 345, 25–29 (2009). https://doi.org/10.1007/s00208-009-0337-5

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  • DOI: https://doi.org/10.1007/s00208-009-0337-5

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