Espaces homogènes génériquement triviaux
作者:
Arnaud Leyssens,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 4
页码: 2173-2183
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826950
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We study the homogeneous spaces of a smooth group G over affine spaces or local k-algebra and gerbs locally banded by a semi-simple group H dèfine over k. In particular we show that every gerb locally banded by H and rationally trivial is trivial, and that an homogeneous space of G with semi-simple isotropy which is rationally trivial is trivial in the Zariski topology. This extends a result of Colliot-Thélène and Ojanguren concerning G-torsors.
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