Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isomorphisms Between Local Cohomology Modules As Truncations of Taylor
  Series   Let $R$ be a standard graded polynomial ring that is finitely generated over
a field, and let $I$ be a homogenous prime ideal of $R$. Bhatt, Blickle,
Lyubeznik, Singh, and Zhang examined the local cohomology of $R/I^t$, as $t$
grows arbitrarily large. Such rings are known as thickenings of $R/I$. We
consider $R = \mathbb{F}[X]$ where $\mathbb{F}$ is a field of characteristic 0,
$X$ is a $2 \times m$ matrix, and $I$ is the ideal generated by size two
minors. We give concrete constructions for the local cohomology modules of
thickenings of $R/I$. Bizarrely, these local cohomology modules can be
described using the Taylor series of natural log.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: alg-geom