activity
20222026
collaborators

8 papers

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 be the Witt vectors of a perfect field of characteristic . 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 be a perfect field of characteristic . In this paper, without assuming resolution of singularities, we prove that the triangulated category of motives with modulus wit…

math.AG2023

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

Keiho Matsumoto

Let be an -linear idempotent-complete, small smooth proper stable -category, where is a finite extension of . We give a Breui…

math.AG2023

Towards the -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…