On Hermitian varieties in PG(6, q^2)
Ars Mathematica Contemporanea, Tome 21 (2021) no. 1, article no. 04, 11 p.

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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.
DOI : 10.26493/1855-3974.2358.3c9
Keywords: Unital, Hermitian variety, algebraic hypersurface
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Angela Aguglia; Luca Giuzzi; Masaaki Homma. On Hermitian varieties in PG(6, q^2). Ars Mathematica Contemporanea, Tome 21 (2021) no. 1, article  no. 04, 11 p. doi : 10.26493/1855-3974.2358.3c9. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2358.3c9/

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