Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattices in crystalline representations and Kisin modules associated
  with iterate extensions   Cais and Liu extended the theory of Kisin modules and crystalline
representations to allow more general coefficient fields and lifts of
Frobenius. Based on their theory, we classify lattices in crystalline
representations by Kisin modules with additional structures under a Cais-Liu's
setting. Furthermore, we give a geometric interpretation of Kisin modules of
height one in terms of Dieudonn\'e crystals of $p$-divisible groups, and show a
full faithfulness theorem for a restriction functor on torsion crystalline
representations.

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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph