On subfields of rational function fields

DOI10.1007/BF01772932zbMath0546.12013OpenAlexW1985868940MaRDI QIDQ798370

Jack Ohm

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01772932

zbMATH Keywords

purely transcendental extensiondegree of transcendencyunirational fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Transcendental field extensions (12F20)

Related Items (8)

A two-dimensional rationality problem and intersections of two quadrics ⋮ Finite groups of essential dimension one ⋮ The Zariski problem for function fields of quadratic forms ⋮ A note on the birational cancellation problem ⋮ A remark on a theorem of Bavula on Lüroth extensions ⋮ On ruled fields ⋮ Retract Rationality and Algebraic Tori ⋮ Rationality of some projective linear actions

Cites Work

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• Ruled Function Fields
• A Theorem on Valuation Rings and its Applications
• Isomorphisms of generic splitting fields of simple algebras.

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