Descent via \((5, 5)\)-isogeny on Jacobians of genus 2 curves

DOI10.1016/j.jnt.2015.01.018zbMath1365.11084OpenAlexW2219615983MaRDI QIDQ2344347

E. Victor Flynn

Publication date: 13 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.01.018

zbMATH Keywords

Tate-Shafarevich groupJacobianshigher genus curves

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) 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)]

Related Items (5)

Multiradical isogenies ⋮ On the statistical leak of the GGH13 multilinear map and some variants ⋮ Computing supersingular isogenies on Kummer surfaces ⋮ Cyclic Isogenies for Abelian Varieties with Real Multiplication ⋮ Isogeny graphs of ordinary abelian varieties

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• Computing a Selmer group of a Jacobian using functions on the curve
• GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
• Descent via (3,3)-isogeny on Jacobians of genus 2 curves
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