3 citations · 12 across the 17 of their papers we have counts for
5 papers · 1 filter
Construction of triangulated categories of motives using the localization property
Doosung Park
Using the localization property, we construct a triangulated category of motives over quasi-projective T-schemes for any coefficient where T is a noetherian separated scheme, and w…
Description of mixed motives
Doosung Park
Assuming the Künneth type standard conjecture, we propose a way to describe objects of mixed motives explicitly. We study their formal properties, and we associate mixed motives to…
Intermediate Jacobians and the slice filtration
Doosung Park
For every -dimensional smooth projective variety over , the motive is expected to admit a Chow-Künneth decomposition . I…
Equivariant cd-structures and descent theory
Doosung Park
We construct the equivariant version of cd-structures, and we develop descent theory for topologies comes from equivariant cd-structures. In particular, we reprove several results…
Triangulated categories of motives over fs log schemes
Doosung Park
We introduce the notion of log motivic triangulated categories, which is the theoretical framework for understanding the motivic aspect of cohomology theories for fs log schemes. T…