4 papers
Construction of logarithmic cohomology theories II: On Chow groups
Doosung Park
The purpose of this second part of the series is to show a technical result on Chow groups of toric varieties. This is a crucial ingredient for the first part.
Log motivic nearby cycles
Doosung Park
We define the log motivic nearby cycles functor. We show that this sends the motive of a proper smooth scheme over the fraction field of a DVR to the motive of the boundary of a lo…
Motivic six-functor formalism for log schemes
Doosung Park
We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincaré duality. We also define…
Log motivic exceptional direct image functors
Doosung Park
In this paper, we construct the motivic exceptional direct image functors for fs log schemes. This construction is a part of the motivic six-functor formalism for fs log schemes.