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.
On Hermitian Varieties in PG(6,q^2) / Aguglia, Angela; Giuzzi, Luca; Homma, Masaaki. - In: ARS MATHEMATICA CONTEMPORANEA. - ISSN 1855-3966. - STAMPA. - 21:1(2021). [10.26493/1855-3974.2358.3c9]
On Hermitian Varieties in PG(6,q^2)
Angela Aguglia
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2021-01-01
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.File in questo prodotto:
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