科研之友
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摘要
Let R be a regular local ring containing an infinite field. Let G be a reductive group scheme over R. We prove that a principal G-bundle over R is trivial if it is trivial over the fraction field of R. In other words, if K is the fraction field of R, then the map of non-abelian cohomology pointed sets H-et(1)(R, G) -> H-et(1)(K, G) induced by the inclusion of R into K has a trivial kernel.
- 出版日期2015-11
