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 [10.1016/j.jalgebra.2007.07.022].

Torsors under some group schemes of order pn

GASBARRI, CARLO
2007

Abstract

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.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - Geometria
English
Commutative finite and flat group schemes; Kummer and Artin-Schreier theory; Torsors
Andreatta, F., & Gasbarri, C. (2007). Torsors under some group schemes of order pn. JOURNAL OF ALGEBRA, 318(2), 1057-1067 [10.1016/j.jalgebra.2007.07.022].
Andreatta, F; Gasbarri, C
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/34673
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