The compatibility with the duality for partial Hasse invariants

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Title: The compatibility with the duality for partial Hasse invariants
Authors: Bijakowski, S
Item Type: Working Paper
Abstract: We give a simple and natural proof for the compatibility of the Hasse invariant with duality. We then study a $p$-divisible group with an action of the ring of integers of a finite ramified extension of $\mathbb{Q}_p$. We suppose that it satisfies the Pappas-Rapoport condition ; in that case the Hasse invariant is a product of partial Hasse invariants, each of which can be expressed in terms of primitive Hasse invariants. We then show that the dual of the $p$-divisible group naturally satisfies a Pappas-Rapoport condition, and prove the compatibility with the duality for the partial and primitive Hasse invariants.
Issue Date: 22-Mar-2016
Copyright Statement: © 2016 The Author.
Keywords: math.NT
Notes: 12 pages
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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