Wataru Kai

activity

20132024

most citedA moving lemma for algebraic cycles with modulus and contravariance

17 citations · 30 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

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.NT2021

The Green-Tao theorem for affine curves over F_q

Wataru Kai

Green and Tao famously proved in a 2008 paper that there are arithmetic progressions of prime numbers of arbitrary lengths. Soon after, analogous statements were proved by Tao for…

Unramified logarithmic Hodge-Witt cohomology and P1-invariance

The Green-Tao theorem for affine curves over F_q

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