Hiroki Kato

most citedA Tannakian framework for prismatic

F

-crystals

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2026★ 1 cited

A Tannakian framework for prismatic $F$ -crystals

Naoki Imai, Hiroki Kato, Alex Youcis

We develop the Tannakian theory of (analytic) prismatic $F$ -crystals on a smooth formal scheme $X$ over the ring of integers of a discretely valued field with perfect re…

math.NT2026

An integral analogue of Fontaine's crystalline functor

Naoki Imai, Hiroki Kato, Alex Youcis

For a smooth formal scheme $X$ over the Witt vectors $W$ of a perfect field $k$ , we construct a functor $D_{crys}$ from the category of prismatic $F$ -cry…

math.NT2025

The prismatic realization functor for Shimura varieties of abelian type

Naoki Imai, Hiroki Kato, Alex Youcis

For the integral canonical model $S_{K^{p}}$ of a Shimura variety $Sh_{K_{0} K^{p}} (G, X)$ of abelian type at hyperspecial l…

A Tannakian framework for prismatic F-crystals

An integral analogue of Fontaine's crystalline functor

The prismatic realization functor for Shimura varieties of abelian type

A Tannakian framework for prismatic $F$ -crystals