Abstract
A combinatorial characterization of a non-singular Hermitian variety of the finite 3-dimensional projective space via its intersection numbers with respect to lines and planes is given.
 
 A corrigendum was added on March 29, 2019.
Highlights
Ever since the celebrated theorem of B
If for every mj ∈ {m1, . . . , ms} there is at least one subspace π ∈ Ph such that |K ∩ π| = mj the set K is of type (m1, . . . , ms)h
If h = 1 or h = 2, we speak of the line–type or plane–type, respectively
Summary
Ever since the celebrated theorem of B. A combinatorial characterization of a non–singular Hermitian variety of the finite 3-dimensional projective space via its intersection numbers with respect to lines and planes is given. Theorem I Let K be a set of k = m(q + 1) points of PG(3, q), for some integer m.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
