Parametrization of algebraic points of a family of Arnthjensen-Flynn hyperelliptic curves of a given degree

DOI10.17654/0972555523020MaRDI QIDQ6490020

Mohamadou Mor Diogou Diallo, Moussa Fall

Publication date: 22 April 2024

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Jacobianlinear systemMordell-Weil group

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Divisors, linear systems, invertible sheaves (14C20) Other algebraic groups (geometric aspects) (14L40)

Cites Work

• Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2
• Effective Chabauty
• Finiteness theorems for abelian varieties over number fields.
• The Mordell–Weil sieve: proving non-existence of rational points on curves
• Partial descent on hyperelliptic curves and the generalized Fermat equation x ³ +y ⁴ +z ⁵ =0

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