In this paper we characterize the non-singular Hermitian variety ${mathcal H}(6,q^2)$ of $mathrm{PG}(6, q^2)$, $q eq2$ among the irreducible hypersurfaces of degree $q+1$ in $mathrm{PG}(6, q^2)$ not containing solids by the number of its points and the existence of a solid $S$ meeting it in $q^4+q^2+1$ points.
On Hermitian varieties in $mathrm{PG}(6,q^2)$
Luca Giuzzi;
2020-01-01
Abstract
In this paper we characterize the non-singular Hermitian variety ${mathcal H}(6,q^2)$ of $mathrm{PG}(6, q^2)$, $q eq2$ among the irreducible hypersurfaces of degree $q+1$ in $mathrm{PG}(6, q^2)$ not containing solids by the number of its points and the existence of a solid $S$ meeting it in $q^4+q^2+1$ points.File in questo prodotto:
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