Field theory for function fields of singular plane quartic curves

DOI10.1017/S0004972700018669zbMath0986.14016OpenAlexW2139270140MaRDI QIDQ4522512

Kei Miura

Publication date: 7 October 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700018669

zbMATH Keywords

function fieldGalois groupGalois pointsingular plane quartic curve

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Transcendental field extensions (12F20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (10)

Galois points for smooth hypersurfaces. ⋮ A note on birational transformations belonging to Galois points ⋮ A criterion for the existence of a plane model with two inner Galois points for algebraic curves ⋮ Galois points for plane curves and Cremona transformations ⋮ Galois group at each point for some self-dual curves ⋮ Galois points on singular plane quartic curves ⋮ Singular plane curves with infinitely many Galois points ⋮ Galois Lines for Normal Elliptic Space Curves ⋮ Automorphism group of plane curve computed by Galois points. II. ⋮ Galois points for a plane curve in arbitrary characteristic

Cites Work

• Field theory for function fields of plane quartic curves
• An Elementary Test for the Galois Group of a Quartic Polynomial
• Field theory for the function field of the quintic fermat curve
• Unnamed Item

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