Abstract
Abstract
Let
be a regular local ring containing a field. Let
be a reductive group scheme over
. We prove that a principal
-bundle over
is trivial if it is trivial over the field of fractions of
. In other words, if
is the field of fractions of
, then the map
of the non-Abelian cohomology pointed sets induced by the inclusion of
in
has trivial kernel. This result was proved in [1] for regular local rings
containing an infinite field.
Funder
Russian Foundation for Basic Research
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献