It is proved that a quadratic space over the polynomial extension of a global field K is extended from K if it is extended from K<SUB>v</SUB> for every completion K<SUB>v</SUB> of K
Baeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747,Talca,Chile.Let F be a fi...
The Hasse-Minkowski theorem says that a quadratic form over a global field admits a nontrivial zero ...
AbstractAn anisotropic quadratic form φ is called round if φ ≅aφ whenever φ represents a nontriviall...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
International audienceTwo different proofs are given showing that a quaternion algebra defined over ...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
This paper is devoted to the study of the descent problem in the spirit of conjectures proposed by K...
We prove that a quadratic A[T]-module Q with Witt index (Q/TQ)⩾d, where d is the dimension of the eq...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
Les espaces d'ordres abstraits sont introduits par M. Marshall dans les années 70, dans la perspecti...
AbstractLet F be a field of characteristic 2. Let ΩnF be the F-space of absolute differential forms ...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
Abstract. Let K be a quadratic extension of a field k which is either local field or a finite field....
Baeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747,Talca,Chile.Let F be a fi...
The Hasse-Minkowski theorem says that a quadratic form over a global field admits a nontrivial zero ...
AbstractAn anisotropic quadratic form φ is called round if φ ≅aφ whenever φ represents a nontriviall...
If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R....
International audienceTwo different proofs are given showing that a quaternion algebra defined over ...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
A recently found local-global principle for quadratic forms over function fields of curves over a co...
This paper is devoted to the study of the descent problem in the spirit of conjectures proposed by K...
We prove that a quadratic A[T]-module Q with Witt index (Q/TQ)⩾d, where d is the dimension of the eq...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
Les espaces d'ordres abstraits sont introduits par M. Marshall dans les années 70, dans la perspecti...
AbstractLet F be a field of characteristic 2. Let ΩnF be the F-space of absolute differential forms ...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
Abstract. Let K be a quadratic extension of a field k which is either local field or a finite field....
Baeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747,Talca,Chile.Let F be a fi...
The Hasse-Minkowski theorem says that a quadratic form over a global field admits a nontrivial zero ...
AbstractAn anisotropic quadratic form φ is called round if φ ≅aφ whenever φ represents a nontriviall...