Alnajjarine, Nour and Lavrauw, Michel (2025) A classification of planes intersecting the Veronese surface over finite fields of even order. Designs, Codes, and Cryptography, 93 (2). pp. 267-296. ISSN 0925-1022 (Print) 1573-7586 (Online)
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Official URL: https://dx.doi.org/10.1007/s10623-023-01194-9
Abstract
In this paper we contribute towards the classification of partially symmetric tensors in Fq3⊗S2Fq3, q even, by classifying planes which intersect the Veronese surface V(Fq) in at least one point, under the action of K≤ PGL (6 , q) , K≅ PGL (3 , q) , stabilising the Veronese surface. We also determine a complete set of geometric and combinatorial invariants for each of the orbits.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Cubic curves; Nets of conics; Ranks; Tensors; Veronese surface |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Michel Lavrauw |
| Date Deposited: | 08 Oct 2025 14:35 |
| Last Modified: | 08 Oct 2025 14:35 |
| URI: | https://research.sabanciuniv.edu/id/eprint/52951 |
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A classification of planes intersecting the Veronese surface over finite fields of even order. (deposited 08 May 2023 15:46)
- A classification of planes intersecting the Veronese surface over finite fields of even order. (deposited 08 Oct 2025 14:35) [Currently Displayed]
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