Add to ORKGAbstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as a tensor product of quadratic forms when its adjoint involution decomposes as a tensor product of involutions on central simple algebras. We give a positive answer for quadratic forms defined over local or global fields and produce counterexamples over fields of rational fractions in two variables over any formally real field. 1
Izhboldin and Karpenko proved in 2000 that any quadratic form of dimension $8$ with trivial discrimi...
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields t...
. We study the distribution in space of the integral solutions to an integral decomposable form equa...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as ...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
International audienceA theorem of Pfister asserts that every $12$-dimensional quadratic form with t...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
International audienceAn orthogonal involution σ on a central simple algebra A, after scalar extensi...
We consider the problem of providing systems of equations characterizing the forms with complex coe...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic i...
This article investigates the structure of quadratic forms and of division algebras of exponent two ...
Izhboldin and Karpenko proved in 2000 that any quadratic form of dimension $8$ with trivial discrimi...
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields t...
. We study the distribution in space of the integral solutions to an integral decomposable form equa...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as ...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
International audienceA theorem of Pfister asserts that every $12$-dimensional quadratic form with t...
Izhboldin and Karpenko proved in Math. Z. (234 (2000), 647-695, Theorem 16.10) that any quadratic fo...
International audienceAn orthogonal involution σ on a central simple algebra A, after scalar extensi...
We consider the problem of providing systems of equations characterizing the forms with complex coe...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic i...
This article investigates the structure of quadratic forms and of division algebras of exponent two ...
Izhboldin and Karpenko proved in 2000 that any quadratic form of dimension $8$ with trivial discrimi...
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields t...
. We study the distribution in space of the integral solutions to an integral decomposable form equa...