The compatibility with the duality for partial Hasse invariants
File(s)
Working paper
Author(s)
Bijakowski, S
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.
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.
Date Issued
2016-03-22
Citation
2016
Copyright Statement
© 2016 The Author.
Identifier
http://arxiv.org/abs/1603.06874v1
Subjects
math.NT
math.NT
math.AG
Notes
12 pages