Abstract
We prove: Weakly perspective semi-quadratic sets (in the sense of BUEKENHOUT-LEFÈVRE [2]), which are not quadratic sets and which contain a semi-oval, in projective spaces of characteristic ≠ 2 are semi-quadrics.
This has the consequence: Non degenerate generalized quadrangles in projective spaces of characteristic ≠ 2 are embeddable in polarities.
Similar content being viewed by others
Literatur
BUEKENHOUT, F.: Ensembles quadratiques des espaces projectifs. Math. Z.110, 306–318 (1969)
BUEKENHOUT, F. u. LEFÈVRE, C.: Semi-quadratic sets in projective spaces. J. Geometry7, 17–42 (1976)
DIENST, K. J. u. MÄURER, H.: Zwei charakteristische Eigenschaften hermitescher Quadriken. Geometriae Dedicata3, 131–138 (1974)
DIENST, K. J.: Zu Sekanten symmetrische Halbovoide. Arch. Math.28, 325–329 (1977)
DIENST, K. J.: Verallgemeinerte Vierecke in pappusschen projektiven Räumen. Erscheint demnächst; Preprint Nr. 398 (1978) des FB Mathematik der TH Darmstadt
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dienst, K.J. Über schwach-perspektive hermitesche Mengen. J Geom 13, 83–89 (1979). https://doi.org/10.1007/BF01988557
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01988557