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A new combinatorial characterization of (quasi)-Hermitian surfaces.

Authors :
Napolitano, Vito
Source :
Journal of Geometry. Aug2023, Vol. 114 Issue 2, p1-8. 8p.
Publication Year :
2023

Abstract

In this paper, we present a combinatorial characterization of a quasi-Hermitian surface as a set H of points of PG (3 , q) , q = p 2 h h ≥ 1 , p a prime number and q ≠ 4 , having the same size as the Hermitian surface and containing no plane, such that either a line is contained in H or intersects H in at most q + 1 points and every plane intersects H in at least q q + 1 points. Moreover, if there is no external line, the set H is a Hermitian surface. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00472468
Volume :
114
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Geometry
Publication Type :
Academic Journal
Accession number :
164932545
Full Text :
https://doi.org/10.1007/s00022-023-00681-7