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A Note on the Shimura Subgroup of J0(p)

✍ Scribed by E. Deshalit

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
201 KB
Volume
46
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let (J_{0}(p)) be the Jacobian of the modular curve (X_{0}(p)). The group of connected components of its NΓ©ron model is cyclic, and has two special generators. One comes from the cuspidal group, the other from the Shimura subgroup. We compute their ratio, answering a question raised by B. Mazur (Inst. Hautes EEtudes Sci. Publ. Math. 47, 1977, 33-186). 1994 Academic Press. Inc.

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