On ruled fields

DOI10.5802/jtnb.2zbMath0731.12001OpenAlexW2019979057MaRDI QIDQ3356392

Jack Ohm

Publication date: 1989

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1989__1_1_27_0

zbMATH Keywords

separabilityuniruledunirationalrulingZariski problemsubrationalgeneralized Lüroth theoremruled fieldsSamuel problemsubruled

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Transcendental field extensions (12F20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (4)

The Zariski problem for function fields of quadratic forms ⋮ A note on the birational cancellation problem ⋮ An affine version of a theorem of Nagata ⋮ Locally nilpotent derivations and the structure of rings

Cites Work

• Generic splitting fields of central simple algebras
• On Castelnuovo's criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface
• On the Lüroth semigroup and Weierstrass canonical divisors
• On subfields of rational function fields
• Stably rational non rational varieties
• The biregular cancellation problem
• Valuation theory
• On algebraic group varieties
• Ruled Function Fields
• The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields
• The Structure of Inseparable Field Extensions
• A Theorem on Valuation Rings and its Applications
• Isomorphisms of generic splitting fields of simple algebras.
• On Chevalley's Proof of Luroth's Theorem
• Some Remarks on Lüroth’s Theorem
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