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

DOI10.1016/j.jalgebra.2007.04.012zbMath1140.11052OpenAlexW4213187943MaRDI QIDQ2466946

Ilseop Han

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.04.012

zbMATH Keywords

function fieldsquaternion algebraglobal fieldtractabilitygenus one

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50)

Cites Work

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• Algebraic function fields and codes
• Hasse principles for the Brauer groups of algebraic function fields of genus zero over global fields.
• Duality theorems for curves over p-adic fields
• Decomposing and ordering a certain crossed product
• Tractable Fields
• Relative Brauer Groups of Function Fields of Curves of Genus One
• Notes on elliptic curves. II.
• Tractability of algebraic function fields in one variable of genus zero over global fields

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