Milnor k理论中带系数零环的约束同构

IF 1.8 2区数学 Q1 MATHEMATICS Cambridge Journal of Mathematics Pub Date : 2017-06-30 DOI:10.4310/CJM.2019.V7.N1.A1

Morten Lüders

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引用次数: 2

摘要

我们证明了在优秀的henselian离散估值环上光滑投影格式的Milnor k理论中的带系数零环的约束同构。进一步将Milnor k理论中的带系数的零环与ettale上同调和某些Kato复形联系起来，并推导出局部场上Milnor k理论中带系数的零环的有限性结果。

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A restriction isomorphism for zero-cycles with coefficients in Milnor K-theory

We prove a restriction isomorphism for zero-cycles with coefficients in Milnor K-theory for smooth projective schemes over excellent henselian discrete valuation rings. Furthermore we relate zero-cycles with coefficients in Milnor K-theory to \'etale cohomology and certain Kato complexes and deduce finiteness results for zero-cycles with coefficients in Milnor K-theory over local fields.

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来源期刊

Cambridge Journal of Mathematics MATHEMATICS-

CiteScore

3.10

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0.00%

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