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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.