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math.NT2025
The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem
Takao Yamazaki, Yifan Yang, Hwajong Yoo +1
We define and study a biadditive symmetric (not necessarily perfect) pairing on the torsion part of the Picard group of a smooth projective curve…
math.PR2025
Distribution of the cokernels of determinantal row-sparse matrices
Jungin Lee, Myungjun Yu
We study the distribution of the cokernels of random row-sparse integral matrices according to the determinantal measure from a structured matrix with a parameter $k_n…
math.NT2025
The rational cuspidal subgroup of J_0(N)
Hwajong Yoo, Myungjun Yu
For a positive integer , let be the Jacobian of the modular curve . In this paper we completely determine the structure of the rational cuspidal subgroup of $J_…