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arXiv · 1211.2678

A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields

Roman Fedorov·Ivan Panin
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Abstract

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.

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Roman Fedorov, Ivan Panin. 2012-11-12. A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields. https://doi.org/10.1007/s10240-015-0075-z

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