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.

Andreatta, F., Gasbarri, C. (2016). Deformation of torsors under monogenic group schemes. JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX, 28(1), 125-143 [10.5802/jtnb.932].

Deformation of torsors under monogenic group schemes

Gasbarri, C
2016-01-01

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.
2016
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - GEOMETRIA
English
Algebraic curves; Cotangent complex; Finite flat group schemes; Lifting of torsors
Andreatta, F., Gasbarri, C. (2016). Deformation of torsors under monogenic group schemes. JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX, 28(1), 125-143 [10.5802/jtnb.932].
Andreatta, F; Gasbarri, C
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/245072
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