The rational cuspidal divisor class group of X0(N)
نویسندگان
چکیده
For any positive integer N, we completely determine the structure of rational cuspidal divisor class group X0(N), which is conjecturally equal to torsion subgroup J0(N). More specifically, for a given prime ℓ, construct Zℓ(d) non-trivial d N. Also, compute order linear equivalence and show that ℓ-primary X0(N) isomorphic direct sum cyclic subgroups generated by classes Zℓ(d).
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2023
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2022.04.009