Reciprocity Law for Compatible Systems of Abelian mod $p$ Galois Representations
Reciprocity Law for Compatible Systems of Abelian mod $p$ Galois Representations
复制标题
阿贝尔 mod $p$ 伽罗瓦表示兼容系统的互易律
DOI：
10.4153/cjm-2005-048-9
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Chandrashekhar B. Khare
中科院分区：
文献类型：
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作者：
Chandrashekhar B. Khare
摘要本文的主要结果是一个互易律，它证明了相容系统的半单，阿贝尔模$p$表示（任意维）的绝对伽罗瓦群的数域，产生Hecke字符。在最后一节类似物伽罗瓦群的功能领域的这些结果进行了探讨，并提出了一个问题，其答案似乎需要发展超越理论的特点$p$。
Abstract The main result of the paper is a reciprocity law which proves that compatible systems of semisimple, abelian mod $p$ representations (of arbitrary dimension) of absolute Galois groups of number fields, arise from Hecke characters. In the last section analogs for Galois groups of function fields of these results are explored, and a question is raised whose answer seems to require developments in transcendence theory in characteristic $p$ .