Tractability of algebraic function fields in one variable of genus zero over global fields

DOI10.1006/jabr.2001.8885zbMath1043.12002OpenAlexW2012343294MaRDI QIDQ5952286

Ilseop Han

Publication date: 4 March 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8885

zbMATH Keywords

quaternion algebrafunction field of conicglobal field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Skew fields, division rings (12E15)

Related Items (3)

Quaternion Algebras with the Same Subfields ⋮ Tractability of algebraic function fields in one variable of genus one over global fields ⋮ Relative Brauer Groups of Function Fields of Curves of Genus One

Cites Work

• Division algebras over Henselian fields.
• On quadratic forms isotropic over the function field of a conic
• Über die Brauer-Gruppe eines Hensel-Körpers
• Separable algebras over commutative rings
• Decomposing and ordering a certain crossed product
• Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
• The Index of a Brauer Class on a Brauer-Severi Variety
• Brauer-Hilbertian Fields
• Tractable Fields
• Über die Brauer-Gruppe eines algebraischen Funktionenkörpers in einer Variablen.
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