On the equivalence of certain quasi-Hermitian varieties

Autor:	Angela Aguglia, Luca Giuzzi
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry quasi‐Hermitian variety collineation Hermitian variety quasi‐Hermitian variety collineation FOS: Mathematics Mathematics - Combinatorics Discrete Mathematics and Combinatorics Combinatorics (math.CO) Hermitian variety Algebraic Geometry (math.AG) 51E20 51E05
DOI:	10.48550/arxiv.2108.04813
Popis:	In [A. Aguglia, A. Cossidente, G. Korchmaros, "On quasi-Hermitian varieties", J. Comb. Des. 20 (2012), 433-447] new quasi-Hermitian varieties ${\mathcal M}_{\alpha,\beta}$ in $\mathrm{PG}(r,q^2)$ depending on a pair of parameters $\alpha,\beta$ from the underlying field $\mathrm{GF}(q^2)$ have been constructed. In the present paper we determine the projective equivalence classes of such varieties for $r=3$ and $q$ odd. Comment: 17 pages; final version
Databáze:	OpenAIRE
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