We provide a characterization of the non-singular Hermitian variety of PG(4,q2) as a hypersurface of degree q+1 over GF(q2) with q7+q5+q2+1 rational points, which does not contain linear subspaces of dimension greater than 1 and having exactly one line in common with at least a plane of PG(4,q2).
On non-singular Hermitian varieties of PG(4,q2) / Aguglia, Angela; Pavese, Francesco. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 343:1(2020), pp. 111634.1-111634.5. [10.1016/j.disc.2019.111634]
On non-singular Hermitian varieties of PG(4,q2)
Angela Aguglia
;Francesco Pavese
2020-01-01
Abstract
We provide a characterization of the non-singular Hermitian variety of PG(4,q2) as a hypersurface of degree q+1 over GF(q2) with q7+q5+q2+1 rational points, which does not contain linear subspaces of dimension greater than 1 and having exactly one line in common with at least a plane of PG(4,q2).File in questo prodotto:
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