Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials   For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality
for the collection of all polynomials phases of degree at most $d$. Our result
is intimately related to \cite{MR4078083}, but we use a different partition
that is determined by the geometry of each individual phase function.

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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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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: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci