Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical lifts and $\delta$-structures   We extend the Serre-Tate theory of canonical lifts of ordinary abelian
varieties to arbitrary unpolarised families of ordinary abelian varieties
parameterised by a $p$-adic formal scheme $S$. We show that the canonical lift
is the unique lift to $W(S)$ which admits a $\delta$-structure in the sense of
Joyal, Buium, and Bousfield. We prove analogous statements for families of
ordinary $p$-groups and $p$-divisible groups.

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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an