The twisting representation of the \(L\)-function of a curve

DOI10.4171/RMI/738zbMath1280.11039arXiv1012.3393OpenAlexW2963674031MaRDI QIDQ373494

Francesc Fité, Joan-Carles Lario

Publication date: 17 October 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3393

zbMATH Keywords

Abelian varieties\(L\)-functionsArtin representationsgenus 2 curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Uses Software

• Magma

Cites Work

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• On curves of genus 2 with Jacobian of \(\text{GL}_2\)-type
• Artin representations attached to pairs of isogenous abelian varieties
• Representations of \(G_k\)-groups and twists of the genus two curve \(y^2=x^5 - x\)
• Arithmetic variety of moduli for genus two
• Curves of genus 2 with group of automorphisms isomorphic to 𝐷₈ or 𝐷₁₂