Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total $p$-differentials on schemes over $Z/p^2$   For a scheme $X$ defined over the length $2$ $p$-typical Witt vectors
$W_2(k)$ of a characteristic $p$ field, we introduce total $p$-differentials
which interpolate between Frobenius-twisted differentials and Buium's
$p$-differentials. They form a sheaf over the reduction $X_0$, and behave as if
they were the sheaf of differentials of $X$ over a deeper base below $W_2(k)$.
This allows us to construct the analogues of Gauss-Manin connections and
Kodaira-Spencer classes as in the Katz-Oda formalism. We make connections to
Frobenius lifts, Borger-Weiland's biring formalism, and Deligne--Illusie
classes.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph