The compatibility with the duality for partial Hasse invariants

2016/03/22 by Bijakowski, Stéphane
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1603.06874

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 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.

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• Partial Hasse invariants on splitting models of Hilbert modular varieties