A geometric interpretation of an equality by Sylvester (Q1377790)
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: A geometric interpretation of an equality by Sylvester |
scientific article; zbMATH DE number 1110048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric interpretation of an equality by Sylvester |
scientific article; zbMATH DE number 1110048 |
Statements
A geometric interpretation of an equality by Sylvester (English)
0 references
20 July 1999
0 references
The author computes the number of points, in the Galois field \(GF(q)\) with \(q\) elements, of the Grassmann variety of \(d\)-planes in projective \(n\)-space, and all its Schubert subvarieties, all defined over \(GF(q)\). He observes in the case of Grassmann manifolds that the formula he obtains is the same as the one given by Sylvester for Gauss polynomials.
0 references
number of points of Grassmann variety
0 references
Gauss polynomials
0 references
Sylvester's formula
0 references
Galois geometries
0 references
Galois field
0 references
Schubert subvarieties
0 references
0.8643379
0 references
0.86160654
0 references
0.8603756
0 references
0.8595533
0 references
0.85935426
0 references
