Abstract
AbstractWe define, for each quasisyntomic ringR(in the sense of Bhatt et al.,Publ. Math. IHES129(2019), 199–310), a category$\mathrm {DM}^{\mathrm {adm}}(R)$ofadmissible prismatic Dieudonné crystals over Rand a functor fromp-divisible groups overRto$\mathrm {DM}^{\mathrm {adm}}(R)$. We prove that this functor is an antiequivalence. Our main cohomological tool is the prismatic formalism recently developed by Bhatt and Scholze.
Publisher
Cambridge University Press (CUP)
Subject
Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Analysis
Reference54 articles.
1. [18] Cesnavic̆ius, K. and Scholze, P. , ‘Purity for flat cohomology’, In preparation.
2. Characterizations of Regular Local Rings of Characteristic p
3. Finite locally free group schemes in characteristicp and Dieudonné modules
4. [13] Bhatt, B. and Scholze, P. , ‘Prisms and prismatic cohomology’. URL: http://www.math.uni-bonn.de/people/scholze/Publikationen.html.
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