Local triviality for G-torsors

نویسندگان

چکیده

Let $$C \rightarrow \mathop {{\mathrm{Spec}}}\nolimits (R)$$ be a relative proper flat curve over henselian base. G reductive C-group scheme. Under mild technical assumptions, we show that G-torsor C which is trivial on the closed fiber of locally for Zariski topology.

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2021

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-020-02138-7