Rational torsion of generalised modular Jacobians of odd level
Publication date
2025-03
Authors
Iranzo, Mar Curcó
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Abstract
We consider the generalised Jacobian J0(N)m of the modular curve X0(N) of level N, with respect to the modulus m consisting of all cusps on the modular curve. When N is odd, we determine the group structure of the rational torsion J0(N)m(Q)tor up to 2-primary and l-primary parts for any prime l dividing N. Our results extend those of Wei–Yamazaki for squarefree levels and Yamazaki–Yang for prime-power levels.
Keywords
Cuspidal divisor class group, Eta-quotients, Generalised Jacobians, Modular curves, Rational points, Theoretical Computer Science, Mathematics (miscellaneous), Computational Mathematics, Applied Mathematics
Citation
Curcó-Iranzo, M 2025, 'Rational torsion of generalised modular Jacobians of odd level', Research in Mathematical Sciences, vol. 12, no. 1, 11. https://doi.org/10.1007/s40687-024-00493-4