Global injectivity of planar non-singular maps polynomial in one variable
| Autor: | Sabatini, Marco |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 19 pages |
| Databáze: | arXiv |
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