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

Ivan Panin; Roman Fedorov

arxiv: 1211.2678 · v3 · pith:N47QMSQHnew · submitted 2012-11-12 · 🧮 math.AG

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

Roman Fedorov , Ivan Panin This is my paper

classification 🧮 math.AG

keywords containingfieldinfinitelocalprincipalregulartrivialbundles

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

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