Some consequences of Frobenius descent for torsors
Niels Borne (LPP), Mohamed Rafik Mammeri
TL;DR
This paper explores how Frobenius descent formalism helps analyze torsors under Frobenius kernels using non-commutative Lie-valued differential forms, with a focus on affine line bundles trivialized by Frobenius.
Contribution
It introduces a new approach to studying torsors under Frobenius kernels via non-commutative differential forms, enhancing understanding of Frobenius trivializations.
Findings
Frobenius descent formalism links torsors and Lie-valued differential forms.
Analysis of affine line bundles trivialized by Frobenius.
New insights into torsor structures under Frobenius kernels.
Abstract
We show how the formalism of Frobenius descent for torsors enables to study torsors under Frobenius kernels in terms of non-commutative, Lie-valued differential forms. We pay particular attention to affine line bundles trivialized by the Frobenius.
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