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Moduli of formal torsors

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arxiv 1709.01705 v2 pith:5PNTTVMQ submitted 2017-09-06 math.AG

Fabio Tonini , Takehiko Yasuda This is my paper · ORCID
classification math.AG
keywords finiteformalgroupmodulistacktorsorscharacteristicconstruct
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct the moduli stack of torsors over the formal punctured disk in characteristic p > 0 for a finite group isomorphic to the semidirect product of a p-group and a tame cyclic group. We prove that the stack is a limit of separated Deligne-Mumford stacks with finite and universally injective transition maps.

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  1. Motivic integration over wild Deligne-Mumford stacks

    math.AG 2019-08 accept novelty 8.0 of 10

    Wild motivic McKay correspondence for arbitrary finite groups is proved via motivic integration over formal Deligne-Mumford stacks, yielding stringy motive invariance and a motivic Bhargava mass formula.

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