Arnold's projective plane and \(r\)-matrices (Q606169)
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: Arnold's projective plane and \(r\)-matrices |
scientific article; zbMATH DE number 5816380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arnold's projective plane and \(r\)-matrices |
scientific article; zbMATH DE number 5816380 |
Statements
Arnold's projective plane and \(r\)-matrices (English)
0 references
16 November 2010
0 references
Summary: We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry [\textit{V. Arnold}, J. Geom. Phys. 53, No.~4, 421--427 (2005; Zbl 1092.53055)] by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular \(r\)-matrices is the pencil of tangent lines of a quadratic curve on Arnold's projective plane.
0 references
lattice theory
0 references
pencil of tangent lines
0 references
quadratic curve
0 references
