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Loop torsors. Theory and applications

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arxiv 2412.07294 v1 pith:OVY7AB2N submitted 2024-12-10 math.AG math.RA

Philippe Gille (ICJ , AGL , IMAR) , Vladimir Chernousov , Arturo Pianzola (CAECE) This is my paper · ORCID
classification math.AGmath.RA
keywords looptheorytorsorsapplicationscharacteristicrelationaddressesarea
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Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theory that can yields results in positive characteristic, and for group schemes that are not of finite type. The relation between loop and so-called toral torsors, is one of the central questions in the area. The present paper addresses this question in full generality.

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Cited by 1 Pith paper

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  1. Root stack valuative criterion for good moduli spaces

    math.AG 2025-07 accept novelty 7.0 of 10

    The authors prove a root stack valuative criterion for good moduli spaces and reductive gerbes, enabling root-extension of generic points and several arithmetic and moduli applications.

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