Intersections of the Hermitian surface with irreducible quadrics in $PG(3,q^2)$, $q$ odd
Abstract
In $PG(3,q^2)$, with $q$ odd, we determine the possible intersection sizes of a Hermitian surface $\mathcal{H}$ and an irreducible quadric $\mathcal{Q}$ having the same tangent plane $\pi$ at a common point $P\in{\mathcal Q}\cap{\mathcal H}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2013
- DOI:
- 10.48550/arXiv.1307.8386
- arXiv:
- arXiv:1307.8386
- Bibcode:
- 2013arXiv1307.8386A
- Keywords:
-
- Mathematics - Combinatorics;
- 05B25;
- 51D20;
- 51E20
- E-Print:
- 14 pages