Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: B\'ezoutians and injectivity of polynomial maps   We prove that an endomorphism $f$ of affine space is injective on rational
points if its B\'ezoutian is constant. Similarly, $f$ is injective at a given
rational point if its reduced B\'ezoutian is constant. We also show that if the
Jacobian determinant of $f$ is invertible, then $f$ is injective at a given
rational point if and only if its reduced B\'ezoutian is constant.

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The categories of this paper are: cs
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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: bayes-an
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph