HASSE PRINCIPAL HOMOGENEOUS SPACES UNDER CLASSICAL-GROUPS ON A FIELD OF VIRTUAL COHOMOLOGICAL DIMENSION AT MOST ONE

Authors
DUCROS A
Citation
A. Ducros, HASSE PRINCIPAL HOMOGENEOUS SPACES UNDER CLASSICAL-GROUPS ON A FIELD OF VIRTUAL COHOMOLOGICAL DIMENSION AT MOST ONE, Manuscripta mathematica, 89(3), 1996, pp. 335-354
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
89
Issue
3
Year of publication
1996
Pages
335 - 354
Database
ISI
SICI code
0025-2611(1996)89:3<335:HPHSUC>2.0.ZU;2-Z
Abstract
Let k be a perfect field of virtual cohomological dimension at most 1. Let G be a semi-simple, simply connected classical group. In this pap er it is proved that a principal homogeneous space under G which is tr ivial over every real closure of k is trivial.