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arXiv 1908.05353math.NT
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野生情形下辛型性状的遗传因子

Epsilon factors of symplectic type characters in the wild case

Sazzad Ali Biswas

摘要:

通过John Tate的工作,我们可以将一个乘法因子与一个局部域的每一个乘法特征标联系起来。本文确定了$K^\times$的辛型特征标的扩张因子的显式符号,其中$K/F$是特征为零的非阿基米德局部域$F$的广义分歧二次扩张.

英文摘要:

By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper we determine the explicit signs of the epsilon factors for symplectic type characters of $K^\times$, where $K/F$ is a wildly ramified quadratic extension of a non-Archimedean local field $F$ of characteristic zero.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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