Keiho Matsumoto

activity

20222026

collaborators

9 papers

math.AG2026

Voevodsky motives and motives with modulus with finite coefficients in characteristic zero

Keiho Matsumoto

Let $k$ be a field of characteristic zero and let $n \geq 2$ be an integer. We prove that, with $Z / n Z$ -coefficients, the category of effective motives with modulus is equivalent t…

math.AG2026

Degeneration Theorems of Connes and Feigin--Tsygan Type in Mixed Characteristic, with q-Analogues

Keiho Matsumoto

We prove mixed-characteristic analogues of the Connes and Feigin--Tsygan degeneration theorem. Let $W = W (k)$ be the Witt vectors of a perfect field of characteristic $p > 0$ . For a sm…

math.AG2026

A Criterion for Phantomness of dg-categories

Keiho Matsumoto

We study the question of whether the vanishing of additive invariants characterizes phantomness for smooth proper dg categories admitting geometric realizations. More precisely, le…

math.AG2025

Solid realization of motives with modulus

Keiho Matsumoto

We construct a covariant realization functor, denoted \textsc{Solidm}, from the category of motives with modulus to the derived category of solid modules in the sense of Clausen--S…

math.AG2024

Voevodsky motives and motives with modulus in positive characteristic

Keiho Matsumoto

Let $k$ be a perfect field of characteristic $p > 0$ . In this paper, without assuming resolution of singularities, we prove that the triangulated category of motives with modulus wit…

math.AG2023

Crystalline representations and $p$ -adic Hodge theory for non-commutative algebraic varieties

Keiho Matsumoto

Let $T$ be an $O_{K}$ -linear idempotent-complete, small smooth proper stable $\infty$ -category, where $K$ is a finite extension of $Q_{p}$ . We give a Breui…

math.AG2023

Towards the $p$ -adic Hodge theory for non-commutative algebraic varieties

Keiho Matsumoto

We construct a K-theory version of Bhatt-Morrow-Scholze's Breuil-Kisin cohomology theory for $\sO_K$-linear idempotent-complete, small smooth proper stable infinity-categories, whe…

math.AG2022

Derived invariants and motives, Part II integral derived invariants and some applications

Keiho Matsumoto

In this paper we construct new derived invariants with integral coefficients using the theory of motifs, and give several applications. Specifically, we obtain the following result…

math.AG2022

Derived invariants and motives, Part I, Integral Grothendieck Riemann-Roch and non-commutative motives

Keiho Matsumoto

The goal of this series of papers is to give a new non-commutative approach to problems about the density of reductions such as the conjecture of Joshi-Rajan, and the generalizatio…

Voevodsky motives and motives with modulus with finite coefficients in characteristic zero

Degeneration Theorems of Connes and Feigin--Tsygan Type in Mixed Characteristic, with q-Analogues

A Criterion for Phantomness of dg-categories

Solid realization of motives with modulus

Voevodsky motives and motives with modulus in positive characteristic

Crystalline representations and p-adic Hodge theory for non-commutative algebraic varieties

Towards the p-adic Hodge theory for non-commutative algebraic varieties

Derived invariants and motives, Part II integral derived invariants and some applications

Derived invariants and motives, Part I, Integral Grothendieck Riemann-Roch and non-commutative motives

Crystalline representations and $p$ -adic Hodge theory for non-commutative algebraic varieties

Towards the $p$ -adic Hodge theory for non-commutative algebraic varieties