Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernstein-Sato roots for monomial ideals in positive characteristic   Following work of Musta\c{t}\u{a} and Bitoun we recently developed a notion
of Bernstein-Sato roots for arbitrary ideals, which is a prime characteristic
analogue for the roots of the Bernstein-Sato polynomial. Here we prove that for
monomial ideals the roots of the Bernstein-Sato polynomial (over $\mathbb{C}$)
agree with the Bernstein-Sato roots of the mod-$p$ reductions of the ideal for
$p$ large enough. We regard this as evidence that the characteristic-$p$ notion
of Bernstein-Sato root is reasonable.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th