Geodesic
Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus
Documenta mathematica, Tome 21 (2016), pp. 1669-1690
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We consider the generalized Jacobian J0​(N) of a modular curve X0​(N) with respect to a reduced divisor given by the sum of all cusps on it. When N is a power of a prime ≥5, we exhibit that the group of rational torsion points J0​(N)(Q)Tor​ tends to be much smaller than the classical Jacobian.
DOI : 10.4171/dm/x11
Classification : 11G16, 14H40
Mots-clés : modular curves, torsion points, cuspidal divisor classes, generalized Jacobian varieties 
@article{10_4171_dm_x11,
     author = {Takao Yamazaki and Yifan Yang},
     title = {Rational torsion on the generalized {Jacobian} of a modular curve with cuspidal modulus},
     journal = {Documenta mathematica},
     pages = {1669--1690},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x11},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x11/}
}
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Takao Yamazaki; Yifan Yang. Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus. Documenta mathematica, Tome 21 (2016), pp. 1669-1690. doi: 10.4171/dm/x11

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