{ "id": "1407.8498", "version": "v2", "published": "2014-07-31T17:54:29.000Z", "updated": "2014-11-06T11:51:17.000Z", "title": "Intersections of the Hermitian Surface with irreducible Quadrics in even Characteristic", "authors": [ "Angela Aguglia", "Luca Giuzzi" ], "comment": "15 pages; revised version. This paper extends the results of arXiv:1307.8386 to the case q even", "categories": [ "math.CO", "cs.DM", "math.AG" ], "abstract": "We determine the possible intersection sizes of a Hermitian surface $\\mathcal H$ with an irreducible quadric of ${\\mathrm PG}(3,q^2)$ sharing at least a tangent plane at a common non-singular point when $q$ is even.", "revisions": [ { "version": "v1", "updated": "2014-07-31T17:54:29.000Z", "comment": "15 pages. arXiv admin note: text overlap with arXiv:1307.8386", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-11-06T11:51:17.000Z" } ], "analyses": { "subjects": [ "05B25", "51D20", "51E20" ], "keywords": [ "hermitian surface", "irreducible quadric", "characteristic", "common non-singular point" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.8498A" } } }