scientific article

zbMath0475.14026MaRDI QIDQ3931542

Ralph Greenberg

Publication date: 1981

Full work available at URL: http://www.numdam.org/item?id=CM_1980__42_3_345_0

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zbMATH Keywords

group of rational pointsJacobian varietyalgebraic curvepoints of p- power order

Mathematics Subject Classification ID

Galois theory (11R32) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Cyclotomic extensions (11R18)

Related Items (17)

On the method of Coleman and Chabauty ⋮ On the singularity of the Demjanenko matrix of quotients of Fermat curves ⋮ On the Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve ⋮ Chevalley-Weil theorem and subgroups of class groups ⋮ Galois module structure and Jacobians of Fermat curves ⋮ New criteria for Vandiver's conjecture using Gauss sums -- heuristics and numerical experiments ⋮ Mordell-Weil groups of the Jacobian of the 5-th Fermat curve ⋮ The geometry of the Jacobian of the Fermat curve of exponent five ⋮ The Fermat curve of fourth degree ⋮ The cuspidal torsion packet on hyperelliptic Fermat quotients ⋮ Cyclotomic torsion on Fermat Jacobians ⋮ On the Jacobian of the Klein Curve ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Torsion points on the Jacobian of a Fermat quotient ⋮ Unnamed Item ⋮ Examples of torsion points on genus two curves

Cites Work

• Unnamed Item
• Unnamed Item
• A note on cyclotomic fields
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Irregular Primes and Cyclotomic Invariants
• The Irregular Primes to 125000
• Simple Factors in the Jacobian of a Fermat Curve
• On the units of algebraic number fields

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