Bloch-Ogus定理，周群的循环同调和变形

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-02-01 DOI:10.1016/j.jpaa.2025.107895

Sen Yang

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引用次数: 0

摘要

利用k -论到循环同调的Bloch- ogus定理和Chern性质，回答了Green和Griffiths关于Bloch公式推广的一个问题。此外，构造了局部Hilbert函子到局部上同群的映射。在适当的假设下，我们用这个映射回答了Bloch关于构造从局部Hilbert函子到上同调Chow群的自然变换的问题。

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Bloch-Ogus theorem, cyclic homology and deformations of Chow groups

Using Bloch-Ogus theorem and Chern character from K-theory to cyclic homology, we answer a question of Green and Griffiths on extending Bloch formula. Moreover, we construct a map from the local Hilbert functor to local cohomology groups. With suitable assumptions, we use this map to answer a question of Bloch on constructing a natural transformation from the local Hilbert functor to cohomological Chow groups.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.