The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\)

DOI10.1006/jnth.1998.2251zbMath0914.11060OpenAlexW2114528449MaRDI QIDQ1273202

Aristides I. Kontogeorgis

Publication date: 6 June 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2251

zbMATH Keywords

function fieldsgroup of automorphismsaffine curves

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (9)

The equivariant Hilbert series of the canonical ring of Fermat curves ⋮ Algebraic curves with automorphism groups of large prime order ⋮ The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence ⋮ Automorphisms and the canonical ideal ⋮ Zeta function of the projective curve \(aY^{2l}= bX^{2l}+ cZ^{2l}\) over a class of finite fileds, for odd primes ⋮ Field of moduli versus field of definition for cyclic covers of the projective line ⋮ Automorphism group of plane curve computed by Galois points ⋮ The group of automorphisms of cyclic extensions of rational function fields ⋮ Computational aspects of equivariant Hilbert series of canonical rings for algebraic curves

Cites Work

• Algebraic function fields and codes
• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
• The group of automorphisms of the Fermat curve
• On the automorphism group of Fermat fields
• Die Wronskische Determinante in beliebigen differenzierbaren Funktionenkörpern
• Funktionenkörper mit großer Automorphismengruppe.
• Arithmetic and geometry of the curve y³+1=x⁴
• Endliche Gruppen I
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