On the Mumford-Tate conjecture for 1-motives

• 成果类型: Article
• 署名作者: Jossen, Peter
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0459-y
• 发表日期: 2014
• 页码: 393-439
• 关键词: abelian-varieties; EXTENSIONS; points

摘要

We show that the statement analogous to the Mumford-Tate conjecture for Abelian varieties holds for 1-motives on unipotent parts. This is done by comparing the unipotent part of the associated Hodge group and the unipotent part of the image of the absolute Galois group with the unipotent part of the motivic fundamental group.