4 papers
math.AG2023
Hodge cohomology with a ramification filtration, II
Shane Kelly, Hiroyasu Miyazaki
As a sequel of Part I, we consider a filtration of Hodge cohomology groups indexed by divisors "at infinity", and prove that they are represented in the category of motives with mo…
math.AG2023
Hodge cohomology with a ramification filtration, I
Shane Kelly, Hiroyasu Miyazaki
We consider a filtration on the cohomology of the structure sheaf indexed by (not necessarily reduced) divisors ``at infinity''. We show that the filtered pieces have transfers mor…
math.AG2023
Modulus triples
Bruno Kahn, Hiroyasu Miyazaki
We develop a theory of modulus triples, for future motivic applications.
math.NT2014
Special values of zeta functions of varieties over finite fields via higher Chow groups
Hiroyasu Miyazaki
We study special values of zeta functions of singular varieties over finite fields. We give a new formula of special values by constructing a morphism of homology theories, which w…