On Jacquet-Langlands isogeny over function fields

JOURNAL OF NUMBER THEORY

卷:131

Article

Papikian, Mihran

关键词: Drinfeld modules;    D-elliptic sheaves;    Cuspidal divisor group;    Jacquet-Langlands correspondence;   

DOI  :  10.1016/j.jnt.2011.01.002

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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