Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)

DOI10.1007/BF01168614zbMath0588.14022OpenAlexW2060809315MaRDI QIDQ1073122

Rolf Brandt, Henning Stichtenoth

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155128

zbMATH Keywords

hyperelliptic curveramificationgroup of automorphismscharacteristic 0

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30)

Related Items (23)

The stack of Potts curves and its fibre at a prime of wild ramification ⋮ The full automorphism group of a cyclic \(p\)-gonal surface ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ SOME SPECIAL FAMILIES OF HYPERELLIPTIC CURVES ⋮ Defining equations for cyclic prime covers of the Riemann sphere ⋮ On gonality of Riemann surfaces ⋮ A generating set for the canonical ideal of HKG-curves ⋮ Hyperelliptic Curves with Extra Involutions ⋮ Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\) ⋮ Topological classification of conformal actions on elliptic-hyperelliptic Riemann surfaces ⋮ On gonality automorphisms of \(p\)-hyperelliptic Riemann surfaces ⋮ Hyperelliptic curves with reduced automorphism group \(A_{5}\) ⋮ On cyclic covers of the projective line ⋮ Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group ⋮ Groups of automorphisms of cyclic trigonal Riemann surfaces ⋮ On a conjecture of Whittaker concerning uniformization of hyperelliptic curves ⋮ The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) ⋮ THE 2-RANKS OF HYPERELLIPTIC CURVES WITH EXTRA AUTOMORPHISMS ⋮ Topological classification of conformal actions on cyclic \(p\)-gonal Riemann surfaces ⋮ On automorphisms of algebraic curves ⋮ The group of automorphisms of cyclic extensions of rational function fields ⋮ Hyperelliptic curves with many automorphisms ⋮ The full automorphism groups of hyperelliptic Riemann surfaces

Cites Work

• Unnamed Item
• On solvable extensions of algebraic number fields
• On conformal mapping of a hyperelliptic Riemann surface onto itself

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