We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realizati...
We prove that two natural isomorphisms between the first mod m Suslin homology and the mod m abelian...
AbstractWe provide a detailed study of torsors over Laurent polynomial rings under the action of an ...
29 pagesInternational audienceWe present an account of the construction by S. Sekiguchi and N. Suwa ...
61 pagesInternational audienceLet O_K be a discrete valuation ring of mixed characteristics (0,p), w...
We prove the isogeny conjecture for A-motives over finitely generated fields K of transcendence degr...
Let a, b, c be linearly independent homogeneous polynomials in the standard Z-graded ring R {colon e...
AbstractLet a,b,c be linearly independent homogeneous polynomials in the standard Z-graded ring R≔k[...
We construct universal $G$-zips on good reductions of the Pappas-Rapoport splitting models for PEL-t...
International audienceWe define and study the Whitehead group of isotropic (almost) simple simply co...
AbstractLet p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite tota...
We discuss the sculpture and embedding problems concerning Kummer theories for algebraic tori. This ...
Using Buium's theory of arithmetic differential characters, we construct a filtered $F$-isocrystal $...
Added index for reader's convenience. Comments welcomeInternational audienceLet $p$ be a prime. The ...
We develop and utilize p-adic Hodge theory in families in the context of local-global aspects of the...
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realizati...
We prove that two natural isomorphisms between the first mod m Suslin homology and the mod m abelian...
AbstractWe provide a detailed study of torsors over Laurent polynomial rings under the action of an ...
29 pagesInternational audienceWe present an account of the construction by S. Sekiguchi and N. Suwa ...
61 pagesInternational audienceLet O_K be a discrete valuation ring of mixed characteristics (0,p), w...
We prove the isogeny conjecture for A-motives over finitely generated fields K of transcendence degr...
Let a, b, c be linearly independent homogeneous polynomials in the standard Z-graded ring R {colon e...
AbstractLet a,b,c be linearly independent homogeneous polynomials in the standard Z-graded ring R≔k[...
We construct universal $G$-zips on good reductions of the Pappas-Rapoport splitting models for PEL-t...
International audienceWe define and study the Whitehead group of isotropic (almost) simple simply co...
AbstractLet p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite tota...
We discuss the sculpture and embedding problems concerning Kummer theories for algebraic tori. This ...
Using Buium's theory of arithmetic differential characters, we construct a filtered $F$-isocrystal $...
Added index for reader's convenience. Comments welcomeInternational audienceLet $p$ be a prime. The ...
We develop and utilize p-adic Hodge theory in families in the context of local-global aspects of the...
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realizati...
We prove that two natural isomorphisms between the first mod m Suslin homology and the mod m abelian...
AbstractWe provide a detailed study of torsors over Laurent polynomial rings under the action of an ...