Add to ORKGWe define, for each quasi-syntomic ring R (in the sense of Bhatt-Morrow-Scholze), a category DF(R) of filtered prismatic Dieudonné crystals over R and a functor from p-divisible groups over R to DF(R). We prove that this functor is an antiequivalence. Our main cohomological tool is the prismatic formalism recently developed by Bhatt and Scholze
2019-04-10In this dissertation I prove various results that encompass multiple fields. Within higher...
Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue f...
Let $K$ be a mixed characteristic complete discrete valuation field with perfect residue field, and ...
Lau E. Dieudonne theory over semiperfect rings and perfectoid rings. Compositio Mathematica. 2018;15...
We study de Rham prismatic crystals on $(\mathcal{O}_K)_{\bbold{\Delta}}$. We show that a de Rham cr...
Let X be a p-adic smooth formal scheme. We show that integral crystalline local systems on the gener...
This thesis contains two independent parts. The first part is devoted to the realization of perfecto...
We introduce the notion of a prism, which may be regarded as a "deperfection"of the notion of a perf...
Let $Y/S$ be a morphism of crystalline prisms, i.e., a $ p$-torsion free $p$-adic formal schemes end...
We study prismatic sets analogously to simplicial sets except that realization involves prisms, i.e....
AbstractThe (dual) Dold–Kan correspondence says that there is an equivalence of categories K:Ch⩾0→Ab...
We study prismatic sets analogously to simplicial sets except that realization involves prisms, i.e....
Lau E. A Duality Theorem for Dieudonne Displays. Annales Scientifiques de Ecole Normale Superieure. ...
We show that the abstract equivalence of categories, called Cartier transform, between crystals on t...
We describe explicitly the q-PD-envelopes considered by Bhatt and Scholze in their recent theory of ...
2019-04-10In this dissertation I prove various results that encompass multiple fields. Within higher...
Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue f...
Let $K$ be a mixed characteristic complete discrete valuation field with perfect residue field, and ...
Lau E. Dieudonne theory over semiperfect rings and perfectoid rings. Compositio Mathematica. 2018;15...
We study de Rham prismatic crystals on $(\mathcal{O}_K)_{\bbold{\Delta}}$. We show that a de Rham cr...
Let X be a p-adic smooth formal scheme. We show that integral crystalline local systems on the gener...
This thesis contains two independent parts. The first part is devoted to the realization of perfecto...
We introduce the notion of a prism, which may be regarded as a "deperfection"of the notion of a perf...
Let $Y/S$ be a morphism of crystalline prisms, i.e., a $ p$-torsion free $p$-adic formal schemes end...
We study prismatic sets analogously to simplicial sets except that realization involves prisms, i.e....
AbstractThe (dual) Dold–Kan correspondence says that there is an equivalence of categories K:Ch⩾0→Ab...
We study prismatic sets analogously to simplicial sets except that realization involves prisms, i.e....
Lau E. A Duality Theorem for Dieudonne Displays. Annales Scientifiques de Ecole Normale Superieure. ...
We show that the abstract equivalence of categories, called Cartier transform, between crystals on t...
We describe explicitly the q-PD-envelopes considered by Bhatt and Scholze in their recent theory of ...
2019-04-10In this dissertation I prove various results that encompass multiple fields. Within higher...
Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue f...
Let $K$ be a mixed characteristic complete discrete valuation field with perfect residue field, and ...