论文标题
bloch-ogus定理,周期性同源和变形组的变形
Bloch-Ogus theorem,cyclic homology and deformation of Chow groups
论文作者
论文摘要
使用Bloch-ogus定理和Chern角色从K理论到环状同源性,我们回答了一个绿色和格里菲斯的问题,以扩展Bloch公式。此外,我们构建了一张从当地希尔伯特·函子到本地共同体学的地图。有了合适的假设,我们使用此地图回答了Bloch的问题,该问题构建了从当地的Hilbert Foundor到共同体学CHOW组的自然转变。
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.