An integral analogue of Fontaine's crystalline functor

Naoki Imai, Hiroki Kato, Alex Youcis

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