Abstract
Let K be a p-adic field and let V be a p-adic representation of G K =Gal(K ¯/K). The overconvergence of (ϕ,τ)-modules allows us to attach to V a differential ϕ-module D τ,rig † (V) on the Robba ring B τ,rig,K † that comes equipped with a connection. We show in this paper how to recover the invariants D cris (V) and D st (V) from D τ,rig † (V), and give a characterization of both potentially semi-stable representations of 𝒢 K and finite E-height representations in terms of the connection operator.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
