On the Hermitian Veronesean
The Hermitian Veronesean in PG(3,q<sup>2</sup>), given by V:={(1,x,x<sup>q</sup>,x<sup>q+1</sup>):x∈F<sub>q<sub>2</sub></sub>}∪{(0,0,0,1)}, is a well-studied rational curve, and forms a special set of the Hermitian surface H(3,q<sup>2</sup>). In this paper, we give two local characterisations of the Hermitian Veronesean, based on sublines and triples of points in perspective.
Authors
- Geertrui Van de Voorde (ORCID: https://orcid.org/0000-0002-4957-6911)
- John Bamberg (ORCID: https://orcid.org/0000-0001-7347-8687)
Publication Details
- Journal
- Finite Fields and Their Applications
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1016/j.ffa.2025.102762
- Primary Topic
- History and Theory of Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00