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Brauer-Severi varieties associated to twists of the Burkhardt quartic
The Burkhardt quartic is a projective threefold which, geometrically, is birational to the moduli space of abelian surfaces with full level-3 structure. We study this moduli interpretation of the Burkhardt quartic in an arithmetic setting, over a general field $k$.
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Galois Cohomology of Skew Fields and Brauer-Severi Varieties
This paper provides a comprehensive overview and synthesis of the deep connections between Galois cohomology, skew fields, and Brauer-Severi varieties, aiming to serve as an accessible reference for researchers and students seeking to understand these intertwined fields.
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Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]
Huybrechts D, Mattei D.
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2024 Heart Disease and Stroke Statistics: A Report of US and Global Data From the American Heart Association. [PDF]
Martin SS +43 more
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6th Congress of the GTH (Gesellschaft für Thrombose- und Hämostaseforschung). Kiel, February 21-24, 1990. Abstracts. [PDF]
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XIIIth World Congress of Neurology. Hamburg, September 1-6, 1985. Abstracts. [PDF]
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The Witt ring of a Brauer-Severi variety
Manuscripta Mathematica, 1998The paper extends Arason's computation of the Witt ring of a projective space over a field [\textit{J. Kr. Arason}, Math. Ann. 253, 205-212 (1980; Zbl 0431.10011)] to twisted forms of projective spaces, i.e. Severi-Brauer varieties. Namely, it is proven that for a Severi-Brauer variety \(X/k\) the base-change homomorphism \(\sigma^{\ast} : W(k ...
S Pumplün, Pumplün S
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Function fields of generalized brauer-severi varieties
Communications in Algebra, 1991We define a generalized Brauer-Severi variety to be the projective Variety whose closed points correspond to rank m right ideals in a central simple algebra. We show that these varieties are forms of the Grassmann variety and their function fields are generic partial splitting fields for the associated algebras.
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