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- W2065355310 abstract "In this article we study generic properties of totally real submanifolds M of . On the one hand we show that if M is polynomially convex and also has bounded exhaustion hulls, then sufficiently small -perturbations of M are polynomially convex and have bounded exhaustion hulls. The proof of this relies on an explicit local function (the Gaussian kernel) and the solution of a Cousin I problem. On the other hand, if , there exist arbitrarily small -perturbations M′ of M such that M′ is polynomially convex and has bounded exhaustion hulls. The proof is a further development of an idea of Forstneric and Rosay to push different pieces of M into different complex submanifolds of . We also give a perturbation result that can be obtained by applying a holomorphic automorphism." @default.
- W2065355310 created "2016-06-24" @default.
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- W2065355310 date "2009-03-01" @default.
- W2065355310 modified "2023-09-23" @default.
- W2065355310 title "Polynomial convexity and totally real manifolds" @default.
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- W2065355310 doi "https://doi.org/10.1080/17476930902759395" @default.
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