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
We give necessary and sufficient conditions for a finite flat morphism of schemes of character-istic...
in French, 19 pages. Minor modificationsLet $S$ be a Dedekind scheme, $X$ a $S$-scheme of finite typ...
AbstractLet G, G1 and G2 be quasi-finite and flat group schemes over a complete discrete valuation r...
AbstractLet R be a complete dvr with perfect residue field k of characteristic p>0. Let {Gλ}λ∈R be t...
Let R be a complete dvr with perfect residue field k of characteristic p > 0. Let {G(lambda))lambda ...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
Several of the fundamental problems of algebra can be unified into the problem of classifying G-tors...
Let R be a discrete valuation ring of unequal characteristic with fraction field K which contains a ...
Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the ex...
LetRn be the ring of Laurent polynomials in n variables over a field k of characteristic zero and le...
Among all affine, flat, finitely presented group schemes, we focus on those that are pure; this incl...
Let K be a field, let X be a connected smooth K-scheme and let G, H be two smooth connected K-group ...
We show that one can always deform torsors over smooth curves under finite and commutative group sch...
In this thesis we study the Galois structure of torsors under finite or quasi-finite flat group sche...
We give necessary and sufficient conditions for a finite flat morphism of schemes of character-istic...
in French, 19 pages. Minor modificationsLet $S$ be a Dedekind scheme, $X$ a $S$-scheme of finite typ...
AbstractLet G, G1 and G2 be quasi-finite and flat group schemes over a complete discrete valuation r...
AbstractLet R be a complete dvr with perfect residue field k of characteristic p>0. Let {Gλ}λ∈R be t...
Let R be a complete dvr with perfect residue field k of characteristic p > 0. Let {G(lambda))lambda ...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
Several of the fundamental problems of algebra can be unified into the problem of classifying G-tors...
Let R be a discrete valuation ring of unequal characteristic with fraction field K which contains a ...
Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the ex...
LetRn be the ring of Laurent polynomials in n variables over a field k of characteristic zero and le...
Among all affine, flat, finitely presented group schemes, we focus on those that are pure; this incl...
Let K be a field, let X be a connected smooth K-scheme and let G, H be two smooth connected K-group ...
We show that one can always deform torsors over smooth curves under finite and commutative group sch...
In this thesis we study the Galois structure of torsors under finite or quasi-finite flat group sche...
We give necessary and sufficient conditions for a finite flat morphism of schemes of character-istic...
in French, 19 pages. Minor modificationsLet $S$ be a Dedekind scheme, $X$ a $S$-scheme of finite typ...
AbstractLet G, G1 and G2 be quasi-finite and flat group schemes over a complete discrete valuation r...