A motivic isomorphism between two projective homogeneous varieties under the action of a group of type \(G_2\)
type: Item
instance of: scholarly article
title: A motivic isomorphism between two projective homogeneous varieties under the action of a group of type \(G_2\)
zbMATH Open document ID: 1062.14012
author: J.-P. Bonnet
published in: Documenta Mathematica
publication date: 2004-01-19T00:00:00Z
full work available at URL: https://eudml.org/doc/124606
full work available at URL: 10.html
review text: Let \(k\) be a field of characteristic different from 2 and \(G\) a group of type \(G_2\). Denote by \(\alpha_1\) and \(\alpha_2\) the two simple roots of the group. In this article, the two homogeneous varieties \(X(\alpha_1)\) and \(X(\alpha_2)\) associated to the roots are studied. They are not isomorphic, however, it is shown that they become isomorphic in the category of Chow motives.
reviewed by: Lucy Moser-Jauslin
Mathematics Subject Classification ID: 14C15
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 14F42
Mathematics Subject Classification ID: 14C25
zbMATH DE Number: 2028916
zbMATH Keywords: correspondence
zbMATH Keywords: Chow group
zbMATH Keywords: motives
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2028916