Elliptic subcovers of a curve of genus 2. I: The isogeny defect

DOI10.1007/s40316-018-0105-6zbMath1435.14029OpenAlexW2891526324MaRDI QIDQ2322856

Ernst Kani

Publication date: 5 September 2019

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-018-0105-6

zbMATH Keywords

quadratic formelliptic subcoverNeron-Sevei grouprefined Humbert invariant

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Subcovers of curves and moduli spaces

Cites Work

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• Products of CM elliptic curves
• Non-constant curves of genus 2 with infinite pro-Galois covers
• Elliptic curves on abelian surfaces
• Hurwitz spaces of genus 2 covers of an elliptic curve.
• Elliptic subcovers of a curve of genus 2. II: The refined Humbert invariant
• Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms
• Elliptic subcovers of hyperelliptic curves
• The moduli spaces of Jacobians isomorphic to a product of two elliptic curves

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