Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the decomposition of the De Rham complex on formal schemes   We show that, for a pseudo-proper smooth noetherian formal scheme
$\mathfrak{X}$ over a positive characteristic $p$ field, its truncated De Rham
complex up to the characteristic $p$ is decomposable. Moreover, if the
dimension of $\mathfrak{X}$ is exactly $p$, then the full De Rham complex is
decomposable. Along the way we establish the Cartier isomorphism associated to
a smooth morphism of positive characteristic noetherian formal schemes.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-th