Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality, refined partial Hasse invariants and the canonical filtration   Let $G$ be a $p$-divisible group over the ring of integers of $\mathbb{C}_p$,
and assume that it is endowed with an action of the ring of integers of a
finite unramified extension $F$ of $\mathbb{Q}_p$. Let us fix the type $\mu$ of
this action on the sheaf of differentials $\omega_G$. V. Hernandez, following a
construction of Goldring and Nicole, defined partial Hasse invariants for $G$.
The product of these invariants is the $\mu$-ordinary Hasse invariant, and it
is non-zero if and only if the $p$-divisible group is $\mu$-ordinary (i.e. the
Newton polygon is minimal given the type of the action). \\ We show that if the
valuation of the $\mu$-ordinary Hasse invariant is small enough, then each of
these partial Hasse invariants is a product of other sections, the refined
partial Hasse invariants. We also give a condition for the construction of
these invariants over an arbitrary scheme of characteristic $p$. We then give a
simple, natural and elegant proof of the compatibility with duality for the
classical Hasse invariant, and show how to adapt it to the case of the refined
partial Hasse invariants. Finally, we show how these invariants allow us to
compute the partial degrees of the canonical filtration (if it exists).

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The categories of this paper are: cs
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th