Let R be a complete dvr with perfect residue field k of characteristic p>0. Let be the class of R-affine, commutative, smooth of relative dimension one group schemes generically isomorphic to Gm. Let be the class of finite flat commutative group schemes of order pn defined as kernels of the isogenies . We provide an explicit description of torsors over R-schemes under the group schemes and Gλ,n.
Torsors under some group schemes of order $p\sp n$ / F. Andreatta, C. Gasbarri. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 318:2(2007), pp. 1057-1067. [10.1016/j.jalgebra.2007.07.022]
Torsors under some group schemes of order $p\sp n$
F. AndreattaPrimo
;
2007
Abstract
Let R be a complete dvr with perfect residue field k of characteristic p>0. Let be the class of R-affine, commutative, smooth of relative dimension one group schemes generically isomorphic to Gm. Let be the class of finite flat commutative group schemes of order pn defined as kernels of the isogenies . We provide an explicit description of torsors over R-schemes under the group schemes and Gλ,n.
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