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Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

http://www.firstlight.cn2012/4/18

[作者] Payman L Kassaei Shu Sasaki Yichao Tian

[摘要] We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these r…

[关键词] Modularity lifting results parallel weight one Artin conjecture tamely ramified case Number Theory

We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these results to prove many new cases of the strong Artin conjecture over totally real fields in which 5 is unramified.

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原文发布时间:2012/4/3

引用本文:

Payman L Kassaei;Shu Sasaki;Yichao Tian.Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified casehttp://bsnc.firstlight.cn/View.aspx?infoid=3074750&cb=liuyingxg
发布时间:2012/4/3.检索时间:2024/12/14

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