Instability of rational and polynomial convexity
Complex Variables
2021-07-12 v3 Symplectic Geometry
Abstract
It is shown that rational and polynomial convexity of totally real submanifolds is in general unstable under perturbations that are -small for any H\"older exponent . This complements the result of L{\o}w and Wold that these properties are -stable.
Keywords
Cite
@article{arxiv.1911.09527,
title = {Instability of rational and polynomial convexity},
author = {Stefan Nemirovski},
journal= {arXiv preprint arXiv:1911.09527},
year = {2021}
}
Comments
V.1 - 4 pages, 1 figure; V.2 - details and comments added, 5 pages, 2 figures; V.3 - minor edits