7 citations · 15 across the 13 of their papers we have counts for
17 papers
Determinant functors and deformation of Chow groups
Sen Yang
Using determinant functor, we describe a natural transformation from local Hilbert functor to K-theoretic cycle groups of codimension one, which were variants of Balmer's tensor tr…
Bloch-Ogus theorem,cyclic homology and deformation of Chow groups
Sen Yang
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…
Chern character and obstructions to deforming cycles
Sen Yang
Following Bloch-Esnault-Kerz and Green-Griffiths' recent works on deformation of algebraic cycle classes, we use Chern character from K-theory to negative cyclic homology to show h…
Chern character, semi-regularity map and obstructions
Sen Yang
Using Chern character, we construct a natural transformation from the local Hilbert functor to a functor of Artin rings defined from Hochschild homology, which allows us to reconst…
Infinitesimal deformation of Deligne cycle class map
Sen Yang
In this note, we study the infinitesimal forms of Deligne cycle class maps. As an application, we prove that the infinitesimal form of a conjecture by Beilinson is true.
On the image of the Abel-Jacobi map
Sen Yang
We prove and generalize an observation of Green and Griffiths on the infinitesimal form of the Abel-Jacobi map. As an application, we prove that the infinitesimal form of a conject…