Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A twisted $\bar{\partial}_f$-Neumann problem and Toeplitz $n$-tuples
  from singularity theory   A twisted $\bar{\partial}_f$-Neumann problem associated to a singularity
$(\mathscr{O}_n,f)$ is established. By constructing the connection to the
Koszul complex for toeplitz $n$-tuples $(f_1,\cdots,f_n)$ on Bergman spaces
$B^0(D)$, we can solve this $\bar{\partial}_f$-Neumann problem. Moreover, we
can compute the cohomology of the $L^2$ holomorphic Koszul complex
$(B^*(D),\partial f\wedge)$ explicitly

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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph