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arXiv · 2205.07461

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

Sen Yang
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Abstract

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 local Hilbert functor to local cohomology. With suitable assumptions, we use this map to answer a question of Bloch on constructing a natural transformation from local Hilbert functor to cohomological Chow groups.

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Sen Yang. 2022-05-16. Bloch-Ogus theorem,cyclic homology and deformation of Chow groups. https://arxiv.org/abs/2205.07461

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