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Abstrakty
In the article the next nontrivial example of non-Keller mapping having two zeros at infinity is analyzed. The rare mapping of two complex variables having two zeros at infinity is considered. In the article it has been proved that if the Jacobian of the considered mapping is constant, then it is zero.
Rocznik
Tom
Strony
65--70
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Faculty of Mathematics and Computer Science, University of Lodz Łódź, Poland
Bibliografia
- [1] Griffiths P., Harris J., Principles of Algebraic Geometry, New York 1978.
- [2] Mumford D., Algebraic Geometry I: Complex Projective Varieties, Springer-Verlag, New York 1975.
- [3] Shafarevich I.R., Basic Algebraic Geometry, Springer-Verlag, Berlin, New York 1974.
- [4] Wright D., On the Jacobian conjecture, Illinois J. Math. 1981, 25, 3, 423-440.
- [5] Van den Essen A., Polynomial Automorphisms and the Jacobian Conjecture, Progress in Mathematics 190, Birkhäuser Verlag, Basel 2000.
- [6] Bass H., Connell E.H., Wright D., The Jacobian conjecture: reduction of degree and formal expansion of the inverse, American Mathematical Society. Bulletin, New Series 1982, 7(2), 287-330.
- [7] Pawlak E., Lara-Dziembek S., Biernat G., Woźniakowska M., An example of non-Keller mapping, Journal of Applied Mathematics and Computational Mechanics 2016, 15(1), 115-121.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
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