Add to ORKGWe prove Knebusch’s Norm Principle for finite extensions of semi-local regular rings containing a field of characteristic 0. As an application we prove the version of Grothendieck-Serre’s conjecture on principal homogeneous spaces for the split case of the spinor group
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
. Let A be a regular local ring and K its field of fractions. We denote by W the Witt group functor ...
The spinor norms of the integral rotations on the modular quadratic forms over a local field, which ...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
AbstractThe spinor norms of integral rotations on modular quadratic forms over a local field of char...
Integral spinor norms in dyadic local fields II by Fei Xu (Hefei) In the previous paper [X] we have ...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
We prove the unramified case of the Grothendieck-Serre conjecture: let $R$ be an unramified regular ...
28 pagesInternational audienceThe Grothendieck-Serre conjecture predicts that every generically triv...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
AbstractThis paper investigates the connection between the Witt and Witt-Grothendieck rings of a fie...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
. Let A be a regular local ring and K its field of fractions. We denote by W the Witt group functor ...
The spinor norms of the integral rotations on the modular quadratic forms over a local field, which ...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an ellipti...
AbstractThe spinor norms of integral rotations on modular quadratic forms over a local field of char...
Integral spinor norms in dyadic local fields II by Fei Xu (Hefei) In the previous paper [X] we have ...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
We prove the unramified case of the Grothendieck-Serre conjecture: let $R$ be an unramified regular ...
28 pagesInternational audienceThe Grothendieck-Serre conjecture predicts that every generically triv...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
AbstractThis paper investigates the connection between the Witt and Witt-Grothendieck rings of a fie...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
. Let A be a regular local ring and K its field of fractions. We denote by W the Witt group functor ...