On a Theorem of Lueroth

DOI10.1215/kjm/1250777938zbMath0045.32501OpenAlexW1619081537MaRDI QIDQ5810623

Jun-ichi Igusa

Publication date: 1951

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250777938

zbMATH Keywords

number fields, function fields

Related Items (10)

Rational maps \(H\) for which \(K(th)\) has transcendence degree 2 over \(K\) ⋮ Quantitative aspects of the generalized differential Lüroth's theorem ⋮ A simple and constructive proof to a generalization of Lüroth's theorem ⋮ On the partial differential Lüroth's theorem ⋮ An affine version of a theorem of Nagata ⋮ Lüroth field extensions ⋮ Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth theorem ⋮ Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials] ⋮ On the uniqueness of the coefficient ring in a polynomial ring ⋮ On the Lüroth semigroup and Weierstrass canonical divisors

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