Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $F$-thresholds and test ideals of Thom-Sebastiani type polynomials   We provide a formula for $F$-thresholds of a Thom-Sebastiani type polynomial
over a perfect field of prime characteristic. This result extends the formula
for the $F$-pure threshold of a diagonal hypersurface. We also compute the
first test ideal of Thom-Sebastiani type polynomials. Finally, we apply our
result to find hypersurfaces where the log canonical thresholds equals the
$F$-pure thresholds for infinitely many prime numbers.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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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: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex