Grassmannians over a finite field

2019/11/28 by Tarizadeh, Abolfazl
#12E20 #14M15 #15A03 #15A24 #15A30 #15A75 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.12622

Abstract

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

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