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arXiv math/0012146math.NTmath.AG
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邀请到更高的局部域,第一部分,第15节:关于完备离散赋值域的Milnor K-群的结构

Invitation to higher local fields, Part I, section 15: On the structure of the Milnor K-groups of complete discrete valuation fields

Jinya Nakamura

摘要:

这项工作包含了一个列表的所有已知结果的商过滤的Milnor K-群的一个完整的离散赋值领域的微分模的剩余域。利用指数映射和同伦复形研究了特征为0的弱分歧域与特征为p的剩余域的情形。

英文摘要:

This work contains a list of all known results on the quotient filtration on the Milnor K-groups of a complete discrete valuation field in terms of differential modules over the residue field . Author's recent study of the case of a tamely ramified field of characteristic 0 with residue field of characteristic p by using an exponential map and a syntomic complex is explained.

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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