Jacobians of some curves of genus 2: torsion and simplicity

DOI10.5802/jtnb.144zbMath0864.14017OpenAlexW2025553790MaRDI QIDQ1909877

Franck Leprévost

Publication date: 24 March 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1995__7_1_283_0

zbMATH Keywords

Jacobianequation of curves

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40)

Related Items (10)

Représentations galoisiennes associées aux points d'ordre $\ell$ des jacobiennes de certaines courbes de genre 2 ⋮ On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order ⋮ Unnamed Item ⋮ Torsion and Tamagawa numbers ⋮ Genus two curves with everywhere twisted good reduction ⋮ New orders of torsion points in Jacobians of curves of genus 2 over the rational number field ⋮ Genus-2 Jacobians with torsion points of large order ⋮ Rational torsion of \(J_0(N)\) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10 ⋮ Explicit Coleman Integration for Hyperelliptic Curves ⋮ Inose’s construction and elliptic 𝐾3 surfaces with Mordell-Weil rank 15 revisited

Cites Work

• Endomorphisms of Abelian varieties over finite fields
• Arithmetic variety of moduli for genus two
• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
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