Intersections of the Hermitian surface with irreducible quadrics in $PG(3,q^2)$, $q$ odd

Angela Aguglia; Luca Giuzzi

doi:10.1016/j.ffa.2014.05.005

paper

Intersections of the Hermitian surface with irreducible quadrics in $P G (3, q^{2})$ , $q$ odd

arXiv:1307.8386 · doi:10.1016/j.ffa.2014.05.005

Abstract

In $P G (3, q^{2})$ , with $q$ odd, we determine the possible intersection sizes of a Hermitian surface $H$ and an irreducible quadric $Q$ having the same tangent plane $π$ at a common point $P \in Q \cap H$ .

14 pages; clarified the case q=3

References in corpus (1)

Codes and caps from orthogonal Grassmannians

Intersections of the Hermitian surface with irreducible quadrics in PG(3,q2), q odd

Abstract

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Intersections of the Hermitian surface with irreducible quadrics in $P G (3, q^{2})$ , $q$ odd