The Eisenstein Ideal and Jacquet-Langlands Isogeny over Function Fields
نویسندگان
چکیده
Let p and q be two distinct prime ideals of Fq[T ]. We use the Eisenstein ideal of the Hecke algebra of the Drinfeld modular curveX0(pq) to compare the rational torsion subgroup of the Jacobian J0(pq) with its subgroup generated by the cuspidal divisors, and to produce explicit examples of Jacquet-Langlands isogenies. Our results are stronger than what is currently known about the analogues of these problems over Q. 2010 Mathematics Subject Classification: 11G09, 11G18, 11F12
منابع مشابه
On Jacquet–Langlands isogeny over function fields
Article history: Received 15 August 2010 Revised 31 December 2010 Accepted 3 January 2011 Available online xxxx Communicated by David Goss MSC: primary 11G18, 11G09 secondary 14H40
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