On Jacquet-Langlands isogeny over function fields

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Abstract

We propose a conjectural explicit isogeny from the Jacobians of hyperelliptic Drinfeld modular curves to the Jacobians of hyperelliptic modular curves of D-elliptic sheaves. The kernel of the isogeny is a subgroup of the cuspidal divisor group constructed by examining the canonical maps from the cuspidal divisor group into the component groups.

Original languageEnglish (US)
Pages (from-to)1149-1175
Number of pages27
JournalJournal of Number Theory
Volume131
Issue number7
DOIs
StatePublished - Jul 1 2011

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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