Results 41 to 50 of about 67 (60)
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On the birational equivalence of Brauer-Severi varieties
Russian Mathematical Surveys, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An extension of Arason's theorem to certain Brauer-Severi varieties
Archiv der Mathematik, 1998\textit{J. K. Arason} [Math. Ann. 253, 205-212 (1980; Zbl 0437.10007)] proved that the Witt ring of a projective space over a field \(k\) of characteristic not two is isomorphic to the Witt ring of \(k\). The present author establishes a similar result in the case of Severi-Brauer varieties \(X\) associated with central simple \(k-\)algebras of odd ...
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The Witt Group of Symmetric Bilinear Forms over a Brauer–Severi Variety with Values in a Line Bundle
K-Theory, 1999Let \(X\) be the Brauer-Severi variety associated with a central simple algebra \(A\) over a field of characteristic different from two. The author computes the Witt group \(W(X,L)\) of symmetric bilinear forms over \(X\) with values in a line bundle \(L\) generating Pic\(X\). If the order of \(A\) in the Brauer group of the base field is odd, then \(W(
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Finite groups acting on Severi–Brauer surfaces
European Journal of Mathematics, 2021Constantin A Shramov +1 more
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On the Chow groups of a biquaternion Severi–Brauer variety
Pacific Journal of Mathematics, 2023Eoin Mackall
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A birational interpretation of Severi-Brauer varieties
Communications in Algebra, 2020Eliyahu Matzri
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Torsion in CH2 of Severi-Brauer varieties and indecomposability of generic algebras
Manuscripta Mathematica, 1995Nikita Karpenko, Karpenko Nikita A
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