Intersections of the Hermitian Surface with irreducible Quadrics in even Characteristic

preprint2016arXivOpen access

Abstract

We determine the possible intersection sizes of a Hermitian surface H\mathcal H with an irreducible quadric of PG(3,q2){\mathrm PG}(3,q^2) sharing at least a tangent plane at a common non-singular point when qq is even.

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