We characterize Hermitian cones among the surfaces of degree q + 1 of PG(3, q(2)) by their intersection numbers with planes. We then use this result and provide a characterization of nonsingular Hermitian varieties of PG(4, q(2)) among quasi-Hermitian ones
Characterizing Hermitian varieties in three- and four-dimensional projective spaces / Aguglia, Angela. - In: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 1446-7887. - STAMPA. - 107:1(2019), pp. 1-8. [10.1017/S1446788718000253]
Characterizing Hermitian varieties in three- and four-dimensional projective spaces
Aguglia Angela
2019-01-01
Abstract
We characterize Hermitian cones among the surfaces of degree q + 1 of PG(3, q(2)) by their intersection numbers with planes. We then use this result and provide a characterization of nonsingular Hermitian varieties of PG(4, q(2)) among quasi-Hermitian onesFile in questo prodotto:
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