28 citations · 122 across the 26 of their papers we have counts for
26 papers
Unramified logarithmic Hodge-Witt cohomology and -invariance
Wataru Kai, Shusuke Otabe, Takao Yamazaki
Let be a smooth proper variety over a field and suppose that the degree map is isomorphic for any field extension . We sh…
Motives with modulus, III: The categories of motives
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
We construct and study a triangulated category of motives with modulus over a field that extends Voevodsky's category $\mathbf{DM}_{…
Tensor structures in the theory of modulus presheaves with transfers
Kay Rülling, Rin Sugiyama, Takao Yamazaki
The tensor product of -invariant sheaves with transfers introduced by Voevodsky is generalized to reciprocity sheaves via the theory of modulus presheaves with transf…
Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-pr…
Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of…
Maximal abelian extension of unramified outside cusps
Takao Yamazaki, Yifan Yang
Let be a prime number. Mazur proved that a geometrically maximal unramified abelian covering of over is given by the Shimura covering ,…