Andrist, Rafael Benedikt; Kutzschebauch, Frank (2024). Algebraic overshear density property. Beiträge zur Algebra und Geometrie. Contributions to Algebra and Geometry Springer 10.1007/s13366-023-00729-4
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We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion of the density property. We investigate basic consequences of this stronger property, and propose further research directions in this borderland between affine algebraic geometry and elliptic holomorphic geometry. As an application, we show that any smoothly bordered Riemann surface with finitely many boundary components that is embedded in a complex affine surface with the algebraic overshear density property admits a proper holomorphic embedding.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Andrist, Rafael Benedikt, Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0138-4821 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
27 Mar 2024 16:13 |
Last Modified: |
27 Mar 2024 16:13 |
Publisher DOI: |
10.1007/s13366-023-00729-4 |
BORIS DOI: |
10.48350/194651 |
URI: |
https://boris.unibe.ch/id/eprint/194651 |
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