24 citations · 65 across the 16 of their papers we have counts for
16 papers
Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan engines
Olga Tsurkan, Aleksandra Konstantinova, Arsenii Senokosov +2
Accurate remaining useful life (RUL) estimation underpins safe operation and cost-effective maintenance of aerospace propulsion systems. We propose a Hybrid Quantum Recurrent Neura…
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…
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…
Modulus triples
Bruno Kahn, Hiroyasu Miyazaki
We develop a theory of modulus triples, for future motivic applications.
A motivic construction of the de Rham-Witt complex
Junnosuke Koizumi, Hiroyasu Miyazaki
The theory of reciprocity sheaves due to Kahn-Saito-Yamazaki is a powerful framework to study invariants of smooth varieties via invariants of pairs of a variety and a…
Modulus sheaves with transfers
Shane Kelly, Hiroyasu Miyazaki
We generalise Kahn, Miyazaki, Saito, Yamazaki's theory of modulus pairs to pairs consisting of a qcqs scheme equipped with an effective Cartier divisor representin…
Structural reduction of chemical reaction networks based on topology
Yuji Hirono, Takashi Okada, Hiroyasu Miyazaki +1
We develop a model-independent reduction method of chemical reaction systems based on the stoichiometry, which determines their network topology. A subnetwork can be eliminated sys…
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}_{…
Topologies on schemes and modulus pairs
Bruno Kahn, Hiroyasu Miyazaki
We study relationships between the Nisnevich topology on smooth schemes and certain Grothendieck topologies on proper and not necessarily proper modulus pairs which were introduced…
Nisnevich topology with modulus
Hiroyasu Miyazaki
In Voevodsky's theory of motives, the Nisnevich topology on smooth schemes is used as an important building block. In this paper, we introduce a Grothendieck topology on proper mod…
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…
Mayer-Vietoris triangles for motives with modulus
Bruno Kahn, Hiroyasu Miyazaki
We construct "MV squares" in the category of modulus pairs which was introduced in arXiv:1511.07124 [math:AG]. They allow us to describe the category $\mathbf{MDM}_…
Suslin's moving lemma with modulus
Wataru Kai, Hiroyasu Miyazaki
The moving lemma of Suslin states that a cycle on meeting all faces properly can be moved so that it becomes equidimensional over . This leads…
Cube invariance of higher Chow groups with modulus
Hiroyasu Miyazaki
The higher Chow group with modulus was introduced by Binda-Saito as a common generalization of Bloch's higher Chow group and the additive higher Chow group. In this paper, we study…
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…