Moduli of formal torsors. II. (Modules de torseurs formels. II.) (English. French summary) Zbl 1516.14030
Extending results from their previous paper [F. Tonini and T. Yasuda, J. Algebr. Geom. 29, No. 4, 753–801 (2020; Zbl 1455.14024)], the authors construct a version of the moduli space of \(G\)-torsors over \(Spec \ k((t))\) for arbitrary finite group \(G\) and field \(k\) of positive characteristic. In order to do that they define the notion of \(P\)-schemes by modifying morphisms of the category of schemes and they single out the \(P\)-scheme representing the relevant moduli functor the closest.
As main outcome, they apply their constructions to the theory of wild McKay correspondence by showing that some motivic integrals are well-defined.
As main outcome, they apply their constructions to the theory of wild McKay correspondence by showing that some motivic integrals are well-defined.
Reviewer: Joan Pons-Llopis (Maó)
MSC:
| 14D22 | Fine and coarse moduli spaces |
| 13F25 | Formal power series rings |
| 14H30 | Coverings of curves, fundamental group |
Keywords:
moduli space; Grothendieck topologies; torsors; motivic integration; wild McKay correspondence; Fröhlich’s module resolventCitations:
Zbl 1455.14024References:
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