We prove that the essential dimension of the spinor group Spin_n, grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more complex, in high dimensions, than previously expected
The Rosenberg-Ware theorem states that for a Galois extension K/F of odd degree the natural map of W...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
Abstract. Essential dimension is a numerical invariant of an algebraic group G which reflects the co...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
AbstractThis note investigates the properties of the 2n-dimensional quadratic forms ⊗i=2n 〈1, ai〉, c...
AbstractThe present paper deals with algebraic tori and essential dimension in three unrelated conte...
Abstract. Let X be an anisotropic projective quadric over a field F of characteristic not 2. The ess...
AbstractWe establish a relationship between primitive representations of certain n-ary quadratic for...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
AbstractWe prove first that, for fixed integers n, m⩾1, there is a uniform bound on the number of Pf...
Abstract. We prove Berhuy-Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
AbstractWe prove first that, for fixed integers n, m⩾1, there is a uniform bound on the number of Pf...
The Rosenberg-Ware theorem states that for a Galois extension K/F of odd degree the natural map of W...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
Abstract. Essential dimension is a numerical invariant of an algebraic group G which reflects the co...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
AbstractThis note investigates the properties of the 2n-dimensional quadratic forms ⊗i=2n 〈1, ai〉, c...
AbstractThe present paper deals with algebraic tori and essential dimension in three unrelated conte...
Abstract. Let X be an anisotropic projective quadric over a field F of characteristic not 2. The ess...
AbstractWe establish a relationship between primitive representations of certain n-ary quadratic for...
AbstractThe Witt ring of a field serves as an effective medium to study certain arithmetical invaria...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
AbstractWe prove first that, for fixed integers n, m⩾1, there is a uniform bound on the number of Pf...
Abstract. We prove Berhuy-Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
AbstractWe prove first that, for fixed integers n, m⩾1, there is a uniform bound on the number of Pf...
The Rosenberg-Ware theorem states that for a Galois extension K/F of odd degree the natural map of W...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of ...
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