2 citations · 2 across the 5 of their papers we have counts for
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Six-functor formalism for Kummer étale cohomology of log schemes
Doosung Park
We establish a Grothendieck six-functor formalism for Kummer étale cohomology including Poincaré duality for every separated vertical exact log smooth morphism of noetherian fs log…
The logarithmic - and -topologies
Nikolai Opdan, Doosung Park, Paul Arne Østvær
We introduce the - and -topologies in the context of logarithmic geometry and discuss their applications to log étale cohomology, log differential forms, and log motives.
Log syntomic cohomology of truncated polynomials and coordinate axes
Doosung Park, Paul Arne Østvær
We study the logarithmic syntomic cohomology of fine and saturated log schemes and its realization in the logarithmic motivic stable homotopy category $\mathrm{logSH}(\mathrm{pt}_\…
On the log motivic stable homotopy groups
Doosung Park
We compare the log motivic stable homotopy category and the usual motivic stable homotopy category over a perfect field admitting resolution of singularities. As a consequence, we…
Logarithmic Prismatic Cohomology via Logarithmic THH
Federico Binda, Tommy Lundemo, Doosung Park +1
Inspired by Bhatt-Morrow-Scholze's work on , we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log ${\…
Log motivic Gysin isomorphisms
Doosung Park
In this article, we construct the Gysin isomorphisms in the axiomatic motivic setting for fs log schemes. We formulate the purity transformations for log smooth morphisms. We show…