English

Grassmannians over a finite field

Commutative Algebra 2019-12-02 v1

Abstract

In this paper, we characterize the Grassmannian Gr(d,n)(d,n) in terms of the row echelon forms of rank dd. Using this characterization, then in the case of finite field we give a polynomial-type formula for the cardinality of the Grassmannian.

Keywords

Cite

@article{arxiv.1911.12622,
  title  = {Grassmannians over a finite field},
  author = {Abolfazl Tarizadeh},
  journal= {arXiv preprint arXiv:1911.12622},
  year   = {2019}
}

Comments

5 pages

R2 v1 2026-06-23T12:29:55.636Z