3 citations · 12 across the 17 of their papers we have counts for
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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 ${\…
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 -inv…
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…
Inverting log blow-ups in log geometry
Doosung Park
In the category of log schemes, it is unclear how to define the blow-ups for non-strict closed immersions. In this article, we introduce the notion of divided log spaces. We obtain…
Logarithmic motivic homotopy theory
Federico Binda, Doosung Park, Paul Arne Østvær
This work is dedicated to the construction of a new motivic homotopy theory for (log) schemes, generalizing Morel-Voevodsky's (un)stable -homotopy category. Our frame…