4 papers
Some formal gluing diagrams for continuous K-theory
Hyungseop Kim
We study a construction of diagrams of dualizable presentable stable -categories associated with certain fiber-cofiber sequences over rigid bases, which are sent by localiz…
Topological cyclic homology of Cartier smooth rings
Hyungseop Kim
We study algebraic K-theory, syntomic cohomology, and prismatic cohomology of Cartier smooth rings. As an application, we provide an alternative proof of Kelly-Morrow's generalizat…
Thomason filtration via -local
Hyungseop Kim
We construct a natural filtration on -local for any animated commutative rings using prismatic cohomology and descent theory. In the course of the construction,…
Adelic descent for K-theory
Hyungseop Kim
We prove an adelic descent result for localizing invariants: for each Noetherian scheme of finite Krull dimension and any localizing invariant , e.g., algebraic K-theory of…