Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius-Witt differentials and regularity   T. Dupuy, E. Katz, J. Rabinoff, D. Zureick-Brown introduced the module of
total $p$-differentials for a ring over $Z/p^2Z$. We study the same
construction for a ring over $Z_{(p)}$ and prove a regularity criterion. For a
local ring, the tensor product with the residue field is constructed in a
different way by O. Gabber, L. Ramero. In another article arXiv:2006.00448, we
use the sheaf of FW-differentials to define the cotangent bundle and the
micro-support of an etale sheaf.

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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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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: physics
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio