Let R be a complete dvr with perfect residue field k of characteristic p > 0. Let {G(lambda))lambda is an element of R be the class of R-affine, commutative, smooth of relative dimension one group schemes generically isomorphic to G(m). Let G := {G(lambda,n))(lambda is an element of R,n is an element of N) be the class of finite flat commutative group schemes of order p(n) defined as kernels of the isogenies phi(lambda,n):G(lambda)-> G((lambda pn)). We provide an explicit description of torsors over R-schemes under the group schemes G(lambda) and G(lambda,n). (C) 2007 Elsevier Inc. All rights reserved.
Andreatta, F., & Gasbarri, C. (2007). Torsors under some group schemes of order pn. JOURNAL OF ALGEBRA, 318(2), 1057-1067.
Tipologia: | Articolo su rivista |
Citazione: | Andreatta, F., & Gasbarri, C. (2007). Torsors under some group schemes of order pn. JOURNAL OF ALGEBRA, 318(2), 1057-1067. |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jalgebra.2007.07.022 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2007 |
Titolo: | Torsors under some group schemes of order pn |
Autori: | |
Autori: | Andreatta, F; Gasbarri, C |
Appare nelle tipologie: | 01 - Articolo su rivista |