Embeddings of affine Grassmann spaces
type: Item
instance of: scholarly article
title: Embeddings of affine Grassmann spaces
zbMATH Open document ID: 1219.51002
author: Eva Ferrara Dentice
author: Pia Maria Lo Re
published in: Journal of Geometry
publication date: 2009-11-23T00:00:00Z
review text: The authors prove that if a Grassmann space \( \Delta =Gr_{{\mathbb{A}}}(m, h, K)\) of the \(h\)-subspaces of an affine space \(\mathbb{A}= AG(m,K)\) has an embedding \(e\) into a projective space \(PG(n,K^\prime)\) over a skew-field \(K^\prime\), and \(e\) satisfies two suitable conditions \((\alpha )\) and \((\beta )\), then \(K\) and \(K^\prime\) are isomorphic fields and \(\Delta^{e}\) is, up to projections, an affine Grassmannian.
Mathematics Subject Classification ID: 51A45
Mathematics Subject Classification ID: 51M35
zbMATH DE Number: 5637116
zbMATH Keywords: projective and affine Grassmann spaces
zbMATH Keywords: embeddings
reviewed by: Süleyman Çiftçi
MaRDI profile type: Publication
full work available at URL: s00022-009-2059-y
OpenAlex ID: W2049474930
DOI: 10.1007/S00022-009-2059-Y
description: scientific article; zbMATH DE number 5637116