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 classifying p covers of curves
Deformation of torsors under monogenic group schemes / F. Andreatta, C. Gasbarri. - In: JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX. - ISSN 1246-7405. - 28:1(2016), pp. 125-143. [10.5802/jtnb.932]
Deformation of torsors under monogenic group schemes
F. Andreatta
;
2016
Abstract
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 classifying p covers of curves
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