Homogeneous varieties -- zero-cycles of degree one versus rational points
type: Item
instance of: scholarly article
title: Homogeneous varieties -- zero-cycles of degree one versus rational points
zbMATH Open document ID: 1095.14018
published in: The Asian Journal of Mathematics
publication date: 2006-03-29T00:00:00Z
review text: The paper first surveys open questions as to whether various types of varieties homogeneous under a linear algebraic group which have degree 1 zero-cycles have rational points. The second section gives a construction of projective homogeneous varieties over the field of Laurent series over \(p\)-adic fields which admit zero-cycles of degree 1 but which have no rational points, thus answering one of these questions in the negative.
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 14M17
zbMATH DE Number: 5016085
zbMATH Keywords: homogeneous variety
zbMATH Keywords: zero-cycle
zbMATH Keywords: rational point
author: R. Parimala
reviewed by: T. G. Berry
MaRDI profile type: Publication
DOI: 10.4310/AJM.2005.V9.N2.A9
description: scientific article; zbMATH DE number 5016085