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Directional Density Of Polynomial Hulls At Singularities
Mid Sweden University, Faculty of Science, Technology and Media, Department of Mathematics and Science Education.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Mathematics and Science Education.
2021 (English)In: Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021 / [ed] Szymon Walczak, De Gruyter Open, 2021, p. 195-209Conference paper, Published paper (Refereed)
Abstract [en]

We study the thickening problem on a 2-dimensional Stein variety X with isolated irreducible singularities, i.e. the problem whether the assumption that a compact set K is contained in the interior of another compact set L implies that the same inclusion holds for their holomorphic hulls. The problem is still open except for a positive answer in the special case of quotient singularities. The main result of the present article is the partial result that the holomorphic hull L is has a directional density property at every singular point contained in the hull of K. The proof is based on removability results on pseudoconcave closed sets, which may be of some independent interest.

Place, publisher, year, edition, pages
De Gruyter Open, 2021. p. 195-209
Keywords [en]
Holomorphic hulls, thickening property, envelopes of holomorphy
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-45188DOI: 10.2478/9788366675360-014ISBN: 978-83-66675-36-0 (electronic)OAI: oai:DiVA.org:miun-45188DiVA, id: diva2:1668406
Conference
Contemporary Mathematics in Kielce 2020
Available from: 2022-06-13 Created: 2022-06-13 Last updated: 2022-06-13Bibliographically approved

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Lind, AndreasPorten, Egmont

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