The eisenstein ideal and jacquet-langlands isogeny over function fields

Mihran Papikian, Fu Tsun Wei

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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 curve X0(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.

Original languageEnglish (US)
Pages (from-to)551-630
Number of pages80
JournalDocumenta Mathematica
Volume20
Issue number2015
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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