On the automorphism group of Fermat fields

DOI10.1006/jnth.1996.0017zbMath0854.11062OpenAlexW2017699412MaRDI QIDQ1912270

Heinrich-Wolfgang Leopoldt

Publication date: 19 January 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0017

zbMATH Keywords

automorphism groupFermat fieldFermat group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58)

Related Items (15)

Plane algebraic curves with Singer automorphisms. ⋮ Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups. ⋮ Supersingular quotients of Fermat curves ⋮ Automorphisms of generalized Fermat curves ⋮ The equivariant Hilbert series of the canonical ring of Fermat curves ⋮ On maximal curves which are not Galois subcovers of the Hermitian curve ⋮ 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 ⋮ Characterization of the Fermat curve as the most symmetric nonsingular algebraic plane curve ⋮ The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) ⋮ The Belyi degree of a curve is computable ⋮ Weierstrass points on Kummer extensions ⋮ Computational aspects of equivariant Hilbert series of canonical rings for algebraic curves

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