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BIRS Workshop Lecture Videos

Rational torsion points on J_0(N) Yoo, Hwajong


For any positive integer N, we propose a conjecture on the rational torsion points on J_0(N). Also, we prove this conjecture up to finitely many primes. More precisely, we prove that the prime-to-m parts of the rational torsion subgroup of J_0(N) and the rational cuspidal divisor class group of X_0(N) coincide, where m is the largest perfect square dividing 12N.

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