On Hermitian varieties in PG(6,q^2)
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In this paper we characterize the non-singular Hermitian variety ℋ(6,q^2) of PG(6, q^2), q≠2 among the irreducible hypersurfaces of degree q+1 in 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.
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