JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES

DOI10.1093/qmath/haw009zbMath1341.14010OpenAlexW2343275064MaRDI QIDQ2814322

Saúl Quispe, M. Carvacho, Rubén A. Hidalgo

Publication date: 21 June 2016

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/haw009

zbMATH Keywords

Jacobian varietygeneralized Fermat curveisogenous decomposition

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Jacobians, Prym varieties (14H40)

Related Items (9)

Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2 ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ Holomorphic differentials of generalized Fermat curves ⋮ On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ Weierstrass weight of the hyperosculating points of generalized Fermat curves ⋮ About the Fricke-Macbeath curve ⋮ On Jacobians with group action and coverings ⋮ A decomposition of the Jacobian of a Humbert-Edge curve ⋮ Constructing Jacobian varieties with many elliptic curves

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