Lüroth field extensions

DOI10.1016/j.jpaa.2004.11.003zbMath1100.13009OpenAlexW1971901941MaRDI QIDQ555954

Vladimir V. Bavula

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.003

zbMATH Keywords

derivationsintegrally closed algebrastranscendental field extensions

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Transcendental field extensions (12F20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

Rational maps \(H\) for which \(K(th)\) has transcendence degree 2 over \(K\) ⋮ A remark on a theorem of Bavula on Lüroth extensions

Cites Work

• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• The intermediate Jacobian of the cubic threefold
• Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
• A Note on Finite Dimensional Subrings of Polynomial Rings
• Some Elementary Examples of Unirational Varieties Which are Not Rational
• On a Theorem of Lueroth
• Some Remarks on Lüroth’s Theorem
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