Results 21 to 30 of about 5,408,974 (219)
Quadratic forms and Brauer groups
The Clifford algebras provide a connection between the study of quadratic forms and the Brauer group. We explain how a bound for the u-invariant of a field can be given purely in terms of certain period-index bounds for the Brauer group. We survey some
Parimala, Raman
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We introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.
Peter J. McNamara, Alistair Savage
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Author's introduction: This paper arose out of the observation that the definition of a Clifford algebra as an invariant of a quadratic form is made awkward by the fact that the algebra corresponding to the orthogonal direct sum of two quadratic forms is not simply the tensor product of their separate Clifford algebras.
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The Brauer group and the Brauer–Manin set of products of varieties [PDF]
Let X and Y be smooth and projective varieties over a field k finitely generated ...
Alexei N. Skorobogatov, Yuri G. Zarhin
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Boundedness of the p-primary torsion of the Brauer group of products of varieties
Let k be a field finitely generated over its prime subfield. We prove that the quotient of the Brauer group of a product of varieties over k by the sum of the images of the Brauer groups of factors has finite exponent.
Alexei Skorobogatov, Alexander Petrov
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Brauer groups and Néron class groups [PDF]
Let [Formula: see text] be a global field and let [Formula: see text] be a finite set of primes of [Formula: see text] containing the Archimedean primes. We generalize the duality theorem for the Néron [Formula: see text]-class group of an abelian variety [Formula: see text] over [Formula: see text] established previously by removing the requirement ...
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Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for solving vectorspace problems. I) [PDF]
Ringel CM. Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for solving vectorspace problems. I). In: Dlab V, Gabriel P, eds. Representation Theory I.
Dlab, Vlastimil +3 more
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On the Trichoptera of Western Europe, with revisiting the Anisogamus and Sericostoma genera (Trichoptera) [PDF]
In this paper on the Trichoptera of Western Europe, we describe four new species: Wormaldia atesina sp. nov., Hydropsyche loirensis sp. nov., Drusus mirus sp. nov. and Anisogamus cottius sp. nov. Our unfortunate combinations of Chaetopteryx kimera Oláh &
Oláh, János, Vinçon, Gilles
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In the upcoming decades, hospitals and clinics around the world face a steep rise in demand from patients seeking knee replacement surgery. An absolute increase in knee replacement surgery of 297% – to 57 893 procedures – is forecasted in The Netherlands
P Paul FM Kuijer, Alex Burdorf
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Vanishing of Brauer groups of moduli stacks of stable curves
We show that the cohomological Brauer groups of the moduli stacks of stable genus g curves over the integers and an algebraic closure of the rational numbers vanish for any $g\geq 2$ .
Sebastian Bartling, Kazuhiro Ito
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