Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct images of semi-meromorphic currents   We introduce a calculus for the class $ASM(X)$ of direct images of
semi-meromorphic currents on a reduded analytic space $X$, that extends the
classical calculus due to Coleff, Herrera and Passare. Our main result is that
each element in this class acts as a kind of multiplication on the sheaf
$\PM_X$ of pseudomeromorphic currents on $X$. We also prove that $ASM(X)$ as
well as $\PM_X$ and certain subsheaves are closed under the action of
holomorphic differential operators and interior multiplication by holomorphic
vector fields.

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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th