A ruled residue theorem for function fields of conics

DOI10.1016/j.jpaa.2020.106638zbMath1467.12010arXiv1910.00479OpenAlexW3104158435MaRDI QIDQ1996072

Karim Johannes Becher, Parul Gupta

Publication date: 3 March 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00479

zbMATH Keywords

valuationquaternion algebraalgebraic function fieldrational function fieldgenus zeroGauss extensionresidue field extension

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Transcendental field extensions (12F20) Algebraic functions and function fields in algebraic geometry (14H05) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (3)

A ruled residue theorem for function fields of elliptic curves ⋮ A ruled residue theorem for algebraic function fields of curves of prime degree ⋮ Nonsplit conics in the reduction of an arithmetic curve

Cites Work

• Lectures on the theory of algebraic functions of one variable
• The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields
• Residue fields of valued function fields of conics
• Value Functions on Simple Algebras, and Associated Graded Rings
• Valued Fields
• Unnamed Item
• Unnamed Item

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