Generalized Humbert curves

DOI10.1007/s11856-008-0025-2zbMath1151.30030OpenAlexW2018921805MaRDI QIDQ940743

Rubí E. Rodríguez, Angel Carocca, Víctor González-Aguilera, Rubén A. Hidalgo

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-0025-2

zbMATH Keywords

automorphism groupscompact Riemann surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli of curves (algebraic) (14H10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37) Classification theory of Riemann surfaces (30F20)

Related Items (16)

p-Groups acting on Riemann surfaces ⋮ Automorphisms of generalized Fermat curves ⋮ Geometric orbifolds with torsion free derived subgroup ⋮ Automorphisms group of generalized Fermat curves of type \((k, 3)\) ⋮ On the tautological ring of Humbert curves ⋮ Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2 ⋮ Smooth quotients of generalized Fermat curves ⋮ A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI ⋮ About the Fricke-Macbeath curve ⋮ Some remarks on Humbert-Edge's curves ⋮ Generalized Fermat curves ⋮ An explicit descent of real algebraic varieties ⋮ Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals ⋮ A decomposition of the Jacobian of a Humbert-Edge curve ⋮ Constructing Jacobian varieties with many elliptic curves ⋮ Weil’s Galois descent theorem from a computational point of view

Cites Work

• On Petri's analysis of the linear system of quadrics through a canonical curve
• Automorphic forms for Schottky groups
• A remark on Abel's theorem and the mapping of linear series
• Topics in the theory of Riemann surfaces
• Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian
• Weddle's Surfaces, Humbert's Curves, and a Certain 4-Dimensional Abelian Variety
• Schottky uniformizations of closed Riemann surfaces with Abelian groups of conformal automorphisms
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized Humbert curves