Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties

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概要

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• Let N ≥ 5 be a prime number. Conrad, Edixhoven and Stein have conjectured that the rational torsion subgroup of the modular Jacobian variety J1(N) coincides with the 0-cuspidal class group. We prove this conjecture up to 2-torsion. To do this, we study certain ideals of the Hecke algebras, called the Eisenstein ideals, related to modular forms of weight 2 with respect to Γ1(N) that vanish at the 0-cusps.

著者

• Ohta Masami

  Professor Emeritus, Tokai University

関連論文

• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties

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