Pencils of hyperconics in projective planes of characteristic two (Q1974058)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Pencils of hyperconics in projective planes of characteristic two |
scientific article; zbMATH DE number 1441592
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pencils of hyperconics in projective planes of characteristic two |
scientific article; zbMATH DE number 1441592 |
Statements
Pencils of hyperconics in projective planes of characteristic two (English)
0 references
19 July 2000
0 references
A hyperconic in a projective plane \(\pi\) of characteristic two is the set of points of a non-singular conic plus the nucleus. Any two intersect in 4, 5, or 6 points. A quadrangle \(Q\) in \(\pi\) has a line \(\ell\) of diagonal points and every conic through the vertices of \(Q\) has its nucleus on \(\ell\). The corresponding set of hyperconics is the pencil of the title. Various properties of such a pencil are obtained.
0 references
pencils of hyperconics
0 references
projective plane
0 references
characteristic two
0 references
0.92752326
0 references
0.91773486
0 references
