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- W3193773524 abstract "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." @default.
- W3193773524 created "2021-08-30" @default.
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- W3193773524 date "2023-06-01" @default.
- W3193773524 modified "2023-09-23" @default.
- W3193773524 title "Bézoutians and injectivity of polynomial maps" @default.
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- W3193773524 doi "https://doi.org/10.1016/j.jpaa.2022.107298" @default.
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