Quadratic forms over semilocal rings

zbMath0382.10014MaRDI QIDQ1247997

Ricardo Baeza

Publication date: 1978

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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(Discriminant algebras of quadratic forms) ⋮ Module equivalences: Local to global. When primitive polynomials represent units ⋮ Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring ⋮ Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two ⋮ Isomorphism Theorems for Octonion Planes Over Local Rings ⋮ Splitting fields for \(E_8\)-torsors ⋮ On the Arf invariant in historical perspective. II. ⋮ On the tensor product of quaternion algebras of characteristic two ⋮ Good bilinear and quadratic forms of height 2 in characteristic 2. ⋮ Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems ⋮ The Clifford algebra of a metabolic space ⋮ Relations in \(I^{n}\) and \(I^{n}W_{q}\) in characteristic 2 ⋮ Witt Groups of Varieties and the Purity Problem ⋮ Cdh descent for homotopy Hermitian \(K\)-theory of rings with involution ⋮ Differential forms and bilinear forms under field extensions ⋮ Springer's odd degree extension theorem for quadratic forms over semilocal rings ⋮ A normal form and schemes of quadratic forms ⋮ Cohomological invariants for quadratic forms over local rings ⋮ The Witt group of a discretely valued field and the fundamental filtration ⋮ Association schemes of affine type over finite rings ⋮ Witt equivalence of semilocal Dedekind domains in global fields ⋮ The Witt kernels of purely inseparable quartic extensions ⋮ Witt kernels of function field extensions in characteristic 2 ⋮ On natural homomorphisms of Witt rings ⋮ On self-dual normal bases ⋮ Quadratic Forms ⋮ A note on the linkage of Hurwitz algebras ⋮ Quadratic spaces with trivial Arf invariant ⋮ Orthogonal representations of twisted forms of 𝑆𝐿₂ ⋮ The canonical quadratic pair on a Clifford algebra and triality ⋮ The Gersten conjecture for Milnor \(K\)-theory ⋮ Normality of DSER elementary orthogonal group ⋮ Fields of characteristic 2 with prescribed u-invariants ⋮ The descent of biquaternion algebras in characteristic two ⋮ Level and Pythagoras number of some geometric rings ⋮ Jacobson’s theorem for bilinear forms in characteristic 2 ⋮ The Tate conjecture for ordinary K 3 surfaces over finite fields ⋮ Witt rings of LG-rings ⋮ Unnamed Item ⋮ Signatures et composantes connexes ⋮ On splitting of totally singular quadratic forms ⋮ Bilinear forms of dimension less than or equal to 5 and function fields of quadrics in characteristic 2 ⋮ On Knebusch's norm principle for quadratic forms over semi-local rings ⋮ On n-hilbert fields in characteristic 2 ⋮ Results on Witt kernels of quadratic forms for multi-quadratic extensions ⋮ Algebraic \(K\)-theory of special groups ⋮ Minimal polynomials of integral symmetric matrices ⋮ The Albert Quadratic Form for an Algebra of Degree Four ⋮ Witt kernels and Brauer kernels for quartic extensions in characteristic two ⋮ Certain quadratic forms of dimension at most 6 and function fields of characteristic 2 ⋮ Composition of quadratic forms and the Hurwitz-Radon function in characteristic 2 ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two. ⋮ Comparing u-invariants of fields of characteristic 2 ⋮ On the bad points of positive semidefinite polynomials ⋮ Real cohomology and the powers of the fundamental ideal in the Witt ring

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