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Generically rational polynomials

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Publication:1150653
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zbMath0457.13006MaRDI QIDQ1150653

Tohru Sugie, Masayoshi Miyanishi

Publication date: 1980

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


zbMATH Keywords

linear pencilstandard forms of generically rational polynomials


Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Special algebraic curves and curves of low genus (14H45) Polynomials over commutative rings (13B25) Algebraic functions and function fields in algebraic geometry (14H05)


Related Items (10)

Sets of polynomial rings in two variables and factorizations of polynomial morphisms ⋮ Complete abelian integrals for polynomials whose generic fiber is biholomorphic to \(\mathbb C\) ⋮ Étale endomorphisms of smooth affine surfaces. ⋮ Vanishing cycles and monodromy of complex polynomials ⋮ Generically rational polynomials of quasi-simple type ⋮ Some results on open algebraic surfaces of logarithmic Kodaira dimension zero ⋮ Invariant subvarieties of low codimension in the affine spaces ⋮ Generally rational polynomials in two variables ⋮ Very good and very bad field generators ⋮ On the geometry of regular maps from a quasi-projective surface to a curve




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