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On pairs of permutable Hermitian surfaces
Authors:A Aguglia  A Cossidente  GL Ebert
Institution:a Dipartimento di Matematica, Politecnico di Bari, Via Orabona 4, 70125 Bari, Italy
b Dipartimento di Matematica, Università della Basilicata, Contrada Macchia, Romana, 85100 Potenza, Italy
c Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
Abstract:We investigate the intersection R of two permutable Hermitian surfaces of PG(3,q2), q odd. We show that R is a determinantal variety. From the combinatorial point of view R comprises a complete (q2+1)-span of the two corresponding Hermitian surfaces.
Keywords:Hermitian surface  Commuting polarities  Spans
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