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- W4320830050 abstract "We consider non-singular and Jacobian maps whose components are polynomial in the variable y. We prove that if a map has y-degree one, then it is the composition of a triangular map and a quasi-triangular map. We also prove that non-singular y-quadratic maps are injective if one of the leading functional coefficients does not vanish. Moreover, y-quadratic Jacobian maps are the composition of a quasi-triangular map and 3 triangular maps. Other results are given for wider classes of non-singular maps, considering also injectivity on vertical strips I x R." @default.
- W4320830050 created "2023-02-15" @default.
- W4320830050 creator A5003304367 @default.
- W4320830050 date "2023-02-10" @default.
- W4320830050 modified "2023-09-29" @default.
- W4320830050 title "Global injectivity of planar non-singular maps polynomial in one variable" @default.
- W4320830050 doi "https://doi.org/10.48550/arxiv.2302.05394" @default.
- W4320830050 hasPublicationYear "2023" @default.
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