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Notes on a Grothendieck–Serre Conjecture in Mixed Characteristic Case

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Let R be a discrete valuation ring with infinite residue field and X a smooth projective curve over R. Let G be a simple simply-connected group scheme over R and E a principal G-bundle over X. It is proved that E is trivial locally for the Zariski topology on X providing E is trivial over the generic point of X. The main aim of the present paper is to develop a method rather than to get a very strong concrete result.

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    I. Panin

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  1. I. Panin
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Correspondence to I. Panin.

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In honor of the 80th birthday of academician V. P. Platonov

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 484, 2019, pp. 138–148.

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Panin, I. Notes on a Grothendieck–Serre Conjecture in Mixed Characteristic Case. J Math Sci 252, 841–848 (2021). https://doi.org/10.1007/s10958-021-05204-w

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  • DOI: https://doi.org/10.1007/s10958-021-05204-w

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