On Jacquet-Langlands isogeny over function fields

Research output: Contribution to journalArticle

6 Citations (Scopus)

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

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Isogeny
Function Fields
Modular Curves
Divisor
Hyperelliptic Curves
Sheaves
Subgroup
kernel

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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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.",
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On Jacquet-Langlands isogeny over function fields. / Papikian, Mihran.

In: Journal of Number Theory, Vol. 131, No. 7, 01.07.2011, p. 1149-1175.

Research output: Contribution to journalArticle

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