Doosung Park

collaborators

4 papers

math.AG2026

The logarithmic $h$ - and $v$ -topologies

Nikolai Opdan, Doosung Park, Paul Arne Østvær

We introduce the $h$ - and $v$ -topologies in the context of logarithmic geometry and discuss their applications to log étale cohomology, log differential forms, and log motives.

math.AG2025

Log syntomic cohomology of truncated polynomials and coordinate axes

Doosung Park, Paul Arne ÃstvÃ¦r

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}_\…

math.AG2025

Logarithmic motivic homotopy theory

Federico Binda, Doosung Park, Paul Arne ÃstvÃ¦r

This work is dedicated to the construction of a new motivic homotopy theory for (log) schemes, generalizing Morel-Voevodsky's (un)stable $A^{1}$ -homotopy category. Our frame…

math.KT2025

Motivic real topological Hochschild spectrum

Doosung Park

We define real topological Hochschild homology of separated log schemes with involutions. We show that real topological Hochschild homology is $(P^{n}, P^{n - 1})$ -inv…

The logarithmic h- and v-topologies

Log syntomic cohomology of truncated polynomials and coordinate axes

Logarithmic motivic homotopy theory

Motivic real topological Hochschild spectrum

The logarithmic $h$ - and $v$ -topologies