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Some constructions on the Hermitian surface
Authors:Antonio Cossidente
Affiliation:(1) Dipartimento di Matematicae Informatica, Università della Basilicata, Contrada Macchia Romana, 85100 Potenza, Italy
Abstract:
In the geometric setting of commuting orthogonal and unitary polarities we construct an infinite family of complete (q + 1)2–spans of the Hermitian surface $${mathcal {H}(3, q^2)}$$ , q odd. A construction of an infinite family of minimal blocking sets of $${mathcal {H}(3, q^2)}$$ , q odd, admitting PSL 2(q), is also provided.
Keywords:Hermitian surface  Commuting polarities  Span  Blocking set
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