Quasi-polynomial mappings with constant Jacobian
| العنوان: | Quasi-polynomial mappings with constant Jacobian |
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| المؤلفون: | S. I. Pinchuk |
| المصدر: | Izvestiya: Mathematics. 85:506-517 |
| بيانات النشر: | IOP Publishing, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | symbols.namesake, Pure mathematics, General Mathematics, Jacobian matrix and determinant, symbols, Quasi-polynomial, Constant (mathematics), Mathematics |
| الوصف: | The famous Jacobian conjecture (JC) remains open even for dimension . In this paper we study it by extending the class of polynomial mappings to quasi-polynomial ones. We show that any possible non-invertible polynomial mapping with non-zero constant Jacobian can be transformed into a special reduced form by a sequence of elementary transformations. |
| تدمد: | 1064-5632 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::d1bc37bab94efde7a05fe1989eae80e8 https://doi.org/10.1070/im9017 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........d1bc37bab94efde7a05fe1989eae80e8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10645632 |
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