Field theory for the function field of the quintic fermat curve

DOI10.1080/00927870008826940zbMath0978.14024OpenAlexW2053131141MaRDI QIDQ4953304

Hisao Yoshihara, Kei Miura

Publication date: 28 August 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826940

zbMATH Keywords

function fieldFermat quinticGalois closureJFM 54.0685.01

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Transcendental field extensions (12F20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (12)

Field theory for function fields of singular plane quartic curves ⋮ Projection of a nonsingular plane quintic curve and the dihedral group of order eight ⋮ Quasi-Galois points. I: Automorphism groups of plane curves ⋮ Galois points for a plane curve and its dual curve. II. ⋮ Families of Galois closure curves for plane quintic curves ⋮ Galois points for a normal hypersurface ⋮ Galois points for plane curves and Cremona transformations ⋮ Monodromy of projective curves ⋮ Galois points on singular plane quartic curves ⋮ Function field theory of plane curves by dual curves. ⋮ Galois points for a plane curve in arbitrary characteristic ⋮ Galois Points for a Hermitian Curve

Cites Work

• Field theory for function fields of plane quartic curves
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