Brauer groups of curves and unramified central simple algebras over their function fields

DOI10.1007/BF02673881zbMath0979.14010OpenAlexW2015853975WikidataQ126211326 ScholiaQ126211326MaRDI QIDQ1592197

Ulf Rehmann, G. L. Margolin, Vyacheslav I. Yanchevskiĭ

Publication date: 17 January 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02673881

zbMATH Keywords

hyperelliptic curveJacobianlocal fieldBrauer grouplocal non-archimedean fieldcentral cyclic algebras

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Local ground fields in algebraic geometry (14G20) Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50)

Related Items (1)

Cyclic length in the Brauer group of a p-adic elliptic curve

Cites Work

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• The Brauer group of cubic surfaces
• Über die Brauer-Gruppe eines algebraischen Funktionenkörpers in einer Variablen.
• Abelian varieties over finite fields
• Real algebraic curves

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