Generic Splitting of Quadratic Forms, II
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Publication:4132665
DOI10.1112/plms/s3-34.1.1zbMath0359.15013OpenAlexW4250458863MaRDI QIDQ4132665
Publication date: 1977
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-34.1.1
Algebraic theory of quadratic forms; Witt groups and rings (11E81) Transcendental field extensions (12F20)
Related Items (47)
Generic splitting of reductive groups ⋮ Pfister Numbers over Rigid Fields ⋮ A note on generic splitting of quadratic forms ⋮ Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics ⋮ Minimal forms with respect to function fields of conics ⋮ Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4 ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ A descent problem for quadratic forms ⋮ Isotropy of quadratic forms over the function field of a quadric ⋮ Quadratic forms of height and degree 2 ⋮ Excellent algebraic groups. I ⋮ Quadratic Forms of Height Two ⋮ Isotropy over function fields of Pfister forms ⋮ Algebraic cobordism as a module over the Lazard ring ⋮ Function fields of quadratic forms ⋮ The Kneser-Tits conjecture for groups with Tits-index \textsf{E}\(_{8,2}^{66}\) over an arbitrary field. ⋮ Multiples of Pfister forms ⋮ The isometry classification of Hermitian forms over division algebras ⋮ Good bilinear and quadratic forms of height 2 in characteristic 2. ⋮ The Zariski problem for function fields of quadratic forms ⋮ Generic Reducing Fields of Jordan Pairs ⋮ On quadratic forms of height two and a theorem of Wadsworth ⋮ Generic splitting for special groups ⋮ Motivic equivalence of affine quadrics ⋮ ON THE LEVEL OF A QUATERNION ALGEBRA ⋮ On the indecomposable quadratic forms of the image of the homomorphism \(W(F) \to W(F(\varphi))\) ⋮ Witt kernels of function field extensions in characteristic 2 ⋮ The automorphism group of an affine quadric ⋮ Birational geometry of quadrics ⋮ Spaces of similarities. III: Function fields ⋮ Conservative quadratic forms ⋮ The canonical quadratic pair on a Clifford algebra and triality ⋮ Function fields of Pfister forms ⋮ Generic splitting fields ⋮ Pfister ideals in Witt rings ⋮ A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC ⋮ Similarity of quadratic forms and half-neighbors ⋮ Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric ⋮ Nonexcellence of the function field of the product of two conics ⋮ A note on the u-invariant of fields ⋮ On the notion of canonical dimension for algebraic groups ⋮ Some criteria for stably birational equivalence of quadratic forms ⋮ Isotropy of 8-dimensional quadratic forms over function fields of quadrics ⋮ Hyperbolicity of certain involutions over the function field of a quadric ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two. ⋮ Pythagoras numbers of fields ⋮ Birational equivalence of n-Pfister neighbors
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