A Family of Abelian Varieties Rationally Isogenous to No Jacobian

DOI10.2307/2047366zbMath0698.14044OpenAlexW4254646209MaRDI QIDQ3475391

James L. Parish

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047366

zbMATH Keywords

hyperelliptic curveJacobianabelian variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Arithmetic ground fields for abelian varieties (14K15)

Related Items (1)

Rational torsion in complex-multiplication elliptic curves

Cites Work

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• C is not algebraically equivalent to \(C^-\) in its Jacobian
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• Algebraic cycles and values of L-functions.
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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