Deformation of torsors under monogenic group schemes

Deformation of torsors under monogenic group schemes

We show that one can always deform torsors over smooth curves under finite and commutative group schemes under the assumption that their Lie algebras have dimension less or equal to 1 and that the torsor does not arise from a proper subgroup. We apply this result to the study of a stack classifyingp...

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Veröffentlicht in:Journal de theorie des nombres de bordeaux 2016-01, Vol.28 (1), p.125-143
Hauptverfasser: ANDREATTA, Fabrizio, GASBARRI, Carlo
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Cotangent function
Mathematical theorems
Mathematics
Morphisms
Smooth curves
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Zusammenfassung:We show that one can always deform torsors over smooth curves under finite and commutative group schemes under the assumption that their Lie algebras have dimension less or equal to 1 and that the torsor does not arise from a proper subgroup. We apply this result to the study of a stack classifyingp–covers of curves.
ISSN:1246-7405
2118-8572
2118-8572
1246-7405
DOI:10.5802/jtnb.932