OSU Mathematics Seminars and Colloquia
Mon, Mar 02, 2020
Analysis Seminar
2:30 PM
MSCS 509
A Characterization of Rationally Convex Immersions
Octavian Mitrea, Oklahoma State University
Host: Octavian Mitrea
[Abstract] [PDF]
Abstract: Let $S$ be a smooth, totally real, compact immersion in $\mathbb{C}^n$ 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. We prove that $S$ is rationally convex if and only if it is isotropic with respect to a ``degenerate" K\"ahler form in $\mathbb{C}^n$.
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