Elliptic subcovers of a curve of genus 2. II: The refined Humbert invariant

DOI10.1016/j.jnt.2018.05.011zbMath1451.14065OpenAlexW2809392040MaRDI QIDQ1668857

Ernst Kani

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.05.011

zbMATH Keywords

elliptic curvesbinary quadratic formsLegendre curvesNeron-Severi groupJacobian varietiesabelian surfacescurve coversHumbert invariant

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) [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)] Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (2)

Elliptic subcovers of a curve of genus 2. I: The isogeny defect ⋮ Subcovers of curves and moduli spaces

Cites Work

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• Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms
• Existence of curves of genus two on a product of two elliptic curves
• Covers of tori: genus two
• Elliptic subcovers of hyperelliptic curves
• Varieties Defined by Quadratic Equations
• The moduli spaces of Jacobians isomorphic to a product of two elliptic curves

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