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.
Moduli of formal torsors / Tonini F.; Yasuda T.. - In: JOURNAL OF ALGEBRAIC GEOMETRY. - ISSN 1056-3911. - STAMPA. - 29:(2020), pp. 753-801. [10.1090/jag/771]
Moduli of formal torsors
Tonini F.;
2020
Abstract
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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