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Local triviality for G-torsors
Mathematische Annalen ( IF 1.3 ) Pub Date : 2021-01-16 , DOI: 10.1007/s00208-020-02138-7
P. Gille , R. Parimala , V. Suresh

Let $$C \rightarrow \mathop {{\mathrm{Spec}}}\nolimits (R)$$ C → Spec ( R ) be a relative proper flat curve over a 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.

中文翻译:

G-torsors 的局部微不足道

令 $$C \rightarrow \mathop {{\mathrm{Spec}}}\nolimits (R)$$ C → Spec ( R ) 是在亨塞利基上的相对适当的平坦曲线。设 G 是一个还原 C 组方案。在温和的技术假设下,我们证明了在 C 的闭合光纤上微不足道的 C 上的 G -torsor 对于 Zariski 拓扑是局部微不足道的。
更新日期:2021-01-16
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