Polynomial hulls and analytic discs
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Abstract:
The goal of the present note is to construct a class of examples for connected compact sets $K\subset \mathbb {C}^n$ whose polynomial hull $\widehat {K}$ cannot be covered by analytic discs with boundaries contained in an arbitrarily small neighborhood of $K$. This gives an answer to a recent question raised by B. Drinovec Drnovšek and F. Forstnerič.References
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Additional Information
- Egmont Porten
- Affiliation: Department of Mathematics, Mid Sweden University, Sundsvall, Sweden — and — Instytut Matematyki, Uniwersytet Jana Kochanowskiego w Kielcach, Kielce, Poland
- MR Author ID: 643831
- Email: Egmont.Porten@miun.se
- Received by editor(s): June 6, 2016
- Received by editor(s) in revised form: November 14, 2016
- Published electronically: June 22, 2017
- Communicated by: Franc Forstneric
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4443-4448
- MSC (2010): Primary 32E20, 32H02, 32T05
- DOI: https://doi.org/10.1090/proc/13596
- MathSciNet review: 3690627