Local triviality for G-torsors

Philippe Gille 1 Raman Parimala V Suresh
1 AGL - Algèbre, géométrie, logique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : Let C → Spec(R) be a relative proper flat curve over an henselian base. Let G be a reductive C-group scheme. Under mild technical assumptions, we show that a G-torsor over C which is trivial on the closed fiber of C is locally trivial for the Zariski topology.
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Contributor : Philippe Gille <>
Submitted on : Friday, March 8, 2019 - 5:52:57 PM
Last modification on : Monday, March 18, 2019 - 9:23:15 AM

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  • HAL Id : hal-01978093, version 2
  • ARXIV : 1901.04722

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Philippe Gille, Raman Parimala, V Suresh. Local triviality for G-torsors. 2019. ⟨hal-01978093v2⟩

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