Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic nonabelian Hodge theory in characteristic p   Given a morphism $X \to S$ of log schemes of characteristic $p > 0$ and a
lifting of $X'$ over $S$ modulo $p^2$, we use Lorenzon's indexed algebras
$A_X^{gp}$ and $B_{X/S}$ to construct an equivalence between $O_X$-modules with
nilpotent integrable connection and indexed $B_{X/S}$-modules with nilpotent
$B_{X/S}$-linear Higgs field. If either satisfies a stricter nilpotence
condition, we find an isomorphism between the de Rham cohomology of the
connection and the Higgs cohomology of the Higgs field.

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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom