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Journal Articles International Mathematics Research Notices Year : 2023

On composition of torsors

Abstract

Let K be a field, let X be a connected smooth K-scheme and let G, H be two smooth connected K-group schemes. Given Y → X a G-torsor and Z → Y an H-torsor, we study whether one can find an extension E of G by H so that the composite Z → X is an E-torsor. We give both positive and negative results, depending on the nature of the groups G and H.
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Dates and versions

hal-04012108 , version 1 (02-03-2023)

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Mathieu Florence, Giancarlo Lucchini Arteche, Diego Izquierdo. On composition of torsors. International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnad068⟩. ⟨hal-04012108⟩
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