Work

On the Hermitian Veronesean

Year: 2025

Type: article

Abstract: The Hermitian Veronesean in PG ( 3 , q 2 ) , given by V : = { ( 1 , x , x q , x q + 1 ) : x ∈ F q 2 } ∪ { ( 0 , 0 , 0 , 1 ) } , is a well-studied rational curve, and forms a special set of the Hermitian surface H ( 3 , q 2 ) . In this paper, we give two local characterisations of the Hermitian Veronesean, based on sublines and triples of points in perspective.

Source: Finite Fields and Their Applications

DOI: 10.1016/j.ffa.2025.102762

Authors: John Bamberg, Geertrui Van de Voorde

Institution: The University of Western Australia

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,720

Funder: University of Canterbury