A Modularity Lifting Theorem for Weight Two Hilbert Modular Forms

A Modularity Lifting Theorem for Weight Two Hilbert Modular Forms
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权重二希尔伯特模形式的模提升定理

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发表时间:
2006
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通讯作者:
Toby Gee
Toby Gee
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作者:
Toby Gee

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证明了全真实的域上的潜在Barostti-Tate表示的模提升定理,推广了Kisin最近的结果.不幸的是,在本文的原始版本中有一个错误,这意味着我们只能在表示可能是普通的情况下获得稍微弱一点的结果;已经添加了一个勘误表来解释这个错误。
We prove a modularity lifting theorem for potentially Barostti-Tate representations over totally real fields, generalising recent results of Kisin. Unfortunately, there was an error in the original version of this paper, meaning that we can only obtain a slightly weaker result in the case where the representations are potentially ordinary; an erratum has been added explaining this error.