On Hermitian varieties in PG(6, q^2)

Authors

DOI:

https://doi.org/10.26493/1855-3974.2358.3c9

Keywords:

Unital, Hermitian variety, algebraic hypersurface

Abstract

In this paper we characterize the non-singular Hermitian variety ℋ(6, q2) of PG(6, q2), q ≠ 2 among the irreducible hypersurfaces of degree q + 1 in PG(6, q2) not containing solids by the number of its points and the existence of a solid S meeting it in q4 + q2 + 1 points.

Author Biography

Angela Aguglia, Politecnico di Bari, Italy

Departement of Mechanics, Mathemaics and Management

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Published

2021-08-10

Issue

Vol. 21 No. 1 (2021)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/