Bloch-Ogus theorem,cyclic homology and deformation of Chow groups
Algebraic Geometry
2022-05-17 v1
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.
Keywords
Cite
@article{arxiv.2205.07461,
title = {Bloch-Ogus theorem,cyclic homology and deformation of Chow groups},
author = {Sen Yang},
journal= {arXiv preprint arXiv:2205.07461},
year = {2022}
}