Results 11 to 20 of about 39,123 (47)
Differential forms, linked fields, and the u-invariant [PDF]
, 2017 We associate an Albert form to any pair of cyclic algebras of prime degree p over a field F with char(F) = p which coincides with the classical Albert form when p = 2. We prove that if every Albert form is isotropic, then H-4(F) = 0.
Chapman, Adam, Dolphin, Andrew
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Kato-Milne Cohomology and Polynomial Forms
, 2018 Given a prime number $p$, a field $F$ with $\operatorname{char}(F)=p$ and a positive integer $n$, we study the class-preserving modifications of Kato-Milne classes of decomposable differential forms.
Chapman, Adam, McKinnie, Kelly
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Gorenstein Witt Rings II [PDF]
, 1997 The abstract Witt rings which are Gorenstein have been classified when the dimension is one and the classification problem for those of dimension zero has been reduced to the case of socle degree three.
Fitzgerald, Robert W.
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Common Slots of Bilinear and Quadratic Pfister Forms
, 2018 We show that over any field $F$ of $\operatorname{char}(F)=2$ and 2-rank $n$, there exist $2^n$ bilinear $n$-fold Pfister forms that have no slot in common. This answers a question of Becher's in the negative.
Chapman, Adam
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Koszul Complexes and Symmetric Forms over the Punctured Affine Space [PDF]
, 2017 Let X be a regular separated scheme of finite Krull dimension and let $U^{n}_{X} \subset A^{n}_{X}$ be the punctured affine n-space over X. We show that the total graded Witt ring of $U^{n}_{X}$ is a free graded module over the total graded Witt ring of ...
Balmer, Paul, Gille, Stefan
core
Morava K-theory of twisted flag varieties [PDF]
, 2014 In the present article we prove some results about the Morava K-theory. In particular, we construct an operation from the Morava K-theory to the Chow theory analogous to the second Chern class for Grothendieck's K0-theory.
Petrov, Victor, Semenov, Nikita
core
Annihilating polynomials of excellent quadratic forms [PDF]
, 2018 .: If φ is an excellent form, then it is possible to use the dimensions of the higher complements of φ to obtain an annihilating polynomial of φ of low degree.
Rühl, Klaas-Tido
core
Descent properties of hermitian Witt groups in inseparable extensions [PDF]
, 2018 Let k be a field of characteristic ≠ 2, A be a central simple algebra with involution σ over k and W(A, σ) be the associated Witt group of hermitian forms.
Bayer-Fluckiger, Eva, Moldovan, Daniel
core
Vector bundles of rank four and A_3 = D_3
, 2012 Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior square has a lagrangian subspace.
Asher Auel +32 more
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Witt groups of Grassmann varieties
, 2012 We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis for this free module, which is indexed by a special class of Young diagrams,
Balmer, Paul, Calmès, Baptiste
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