Ballico, Edoardo; Ventura, Emanuele (2020). Minimal degree equations for curves and surfaces (variations on a theme of Halphen). Beiträge zur Algebra und Geometrie. Contributions to Algebra and Geometry, 61(2), pp. 297-315. Springer 10.1007/s13366-019-00471-w
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Ballico-Ventura2020_Article_MinimalDegreeEquationsForCurve.pdf - Published Version Available under License Publisher holds Copyright. Download (375kB) | Preview |
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1906.08117.pdf - Accepted Version Available under License Publisher holds Copyright. Download (212kB) | Preview |
Many classical results in algebraic geometry arise from investigating some extremal behaviors that appear among projective varieties not lying on any hypersurface of fixed degree. We study two numerical invariants attached to such collections of varieties: their minimal degree and their maximal number of linearly independent smallest degree hypersurfaces passing through them. We show results for curves and surfaces, and pose several questions.
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: |
Ventura, Emanuele |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0138-4821 |
Publisher: |
Springer |
Funders: |
[UNSPECIFIED] MIUR (INdAM) ; [UNSPECIFIED] GNSAGA (INdAM) |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
10 Feb 2021 17:44 |
Last Modified: |
04 Nov 2023 00:25 |
Publisher DOI: |
10.1007/s13366-019-00471-w |
ArXiv ID: |
1906.08117 |
Uncontrolled Keywords: |
Minimal degree equations, Linear systems |
BORIS DOI: |
10.48350/151275 |
URI: |
https://boris.unibe.ch/id/eprint/151275 |
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