Polynomial hulls of arcs and curves II
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- by Alexander J. Izzo
- Proc. Amer. Math. Soc. 151 (2023), 113-122
- DOI: https://doi.org/10.1090/proc/16075
- Published electronically: September 2, 2022
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Abstract:
We prove that if a compact set $E$ in $\mathbb {C}^N$ is contained in an arc $J$, then there is a choice of $J$ whose polynomial hull $\widehat {J}$ is $J\cup \widehat {E}$. This strengthens an earlier result of the author. We also correct an inaccuracy in the statement, and fill a gap in the proof, of that earlier result.References
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Bibliographic Information
- Alexander J. Izzo
- Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
- MR Author ID: 307587
- Email: aizzo@bgsu.edu
- Received by editor(s): July 20, 2021
- Received by editor(s) in revised form: January 29, 2022, and March 9, 2022
- Published electronically: September 2, 2022
- Additional Notes: The author was supported by NSF Grant DMS-1856010
- Communicated by: Harold P. Boas
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 151 (2023), 113-122
- MSC (2020): Primary 32E20; Secondary 32A38, 32E30
- DOI: https://doi.org/10.1090/proc/16075
- MathSciNet review: 4504612