A characterization of rationally convex immersions

Lundi 3 décembre 2018 14:00-15:00 - Octavian Mitrea - University of Western Ontario, Canada

Résumé : Let S be a smooth, totally real, compact immersion in C^n of real dimension m \leq n, which is locally polynomially convex and it has finitely many points where it self-intersects finitely many times, transversely or non-transversely. Our result proves that S is rationally convex if and only if it is isotropic with respect to a « degenerate » Kähler form in C^n. We also show that there exists a large class of such rationally convex immersions that are not isotropic with respect to any genuine (non-degenerate) Kähler form.

Lieu : IMO ; salle 3L8.

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