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arXiv · 1911.09527

Instability of rational and polynomial convexity

Stefan Nemirovski
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Abstract

It is shown that rational and polynomial convexity of totally real submanifolds is in general unstable under perturbations that are $C^\alpha$-small for any H\"older exponent $\alpha<1$. This complements the result of L{\o}w and Wold that these properties are $C^1$-stable.

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Stefan Nemirovski. 2019-11-21. Instability of rational and polynomial convexity. https://doi.org/10.1090/proc%2F15535

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