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

Published 12 Nov 2012 in math.AG | (1211.2678v3)

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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