Wataru Kai

collaborators

3 papers

math.AG2024

Equi-dimensionalization via subdivision of simplices

Wataru Kai

We give an alternative proof of Suslin's equi-dimensionalization moving lemma using a different geometric construction. The new construction provides better control of the degrees…

math.AG2021

Unramified logarithmic Hodge-Witt cohomology and $P^{1}$ -invariance

Wataru Kai, Shusuke Otabe, Takao Yamazaki

Let $X$ be a smooth proper variety over a field $k$ and suppose that the degree map $CH_{0} (X \otimes_{k} K) \to Z$ is isomorphic for any field extension $K / k$ . We sh…

math.KT2018

Isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus

Ryomei Iwasa, Wataru Kai

In this note, we establish isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus as defined by Binda-Saito.

Equi-dimensionalization via subdivision of simplices

Unramified logarithmic Hodge-Witt cohomology and P1-invariance

Isomorphisms up to bounded torsion between relative K0​-groups and Chow groups with modulus

Unramified logarithmic Hodge-Witt cohomology and $P^{1}$ -invariance

Isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus