Algebraic fiberings of Grassmann varieties
type: Item
instance of: scholarly article
title: Algebraic fiberings of Grassmann varieties
zbMATH Open document ID: 0897.14005
author: R. J. D. Ferdinands
author: Reinhard Schultz
published in: Illinois Journal of Mathematics
publication date: 1998-10-11T00:00:00Z
review text: In this paper one studies the ``fiberality'' question for Grassmann manifolds. The main result of the paper states that, over a field \(F\) of characteristic \(\not=2\), from any Grassmann variety of \(2\)-planes in an \(n\)-dimensional (\(n\not\equiv 2\pmod 4\)) vector space there are no non-constant maps to a non-singular projective variety with connected positive dimensional fibers.
Mathematics Subject Classification ID: 14D99
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 55R12
Mathematics Subject Classification ID: 55R20
Mathematics Subject Classification ID: 55S10
zbMATH DE Number: 1029000
zbMATH Keywords: Grassmann variety
zbMATH Keywords: smooth map
zbMATH Keywords: fibering
zbMATH Keywords: profinite completion
zbMATH Keywords: étale homotopy
reviewed by: Nicolae Manolache
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1029000