About some properties of jacobian for polynomial mappings of two complex variables

• Autorzy: Gawroński B. , Jankowska J. , Moltzan R. , Włodarczyk I. , Biernat G.
• Języki publikacji: EN

Abstrakty

EN

In our article we consider jacobian Jac(f,h) of polynomial mapping f = Xk Yk +…+ f1, h = Xk–1 Yk–1 +…+ h1. We give conditions for coordinate h in which constant jacobian Jac(f,h) = Jac(f1,h1) vanishes.

Słowa kluczowe

EN

polynomial mappings; Jacobian

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 4
• Strony: 41--46
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Gawroński B.

• The third year students of Mathematics Institute of Mathematics

autor

Jankowska J.

• The third year students of Mathematics Institute of Mathematics

autor

Moltzan R.

• The third year students of Mathematics Institute of Mathematics

autor

Włodarczyk I.

• The third year students of Mathematics Institute of Mathematics

autor

Biernat G.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] McKay J.H., Sui-Sheng Wang S., A note on the Jacobian condition and two points at infinity, Proceedings of the American Mathematical Society 1991, Jan., 111, 1, 35-43.
• [2] Charzyński Z., Chądzyński J., Skibiński P., A contribution to Keller’s Jacobian conjecture, Seminar on deformations (Proceedings, Łódź-Warsaw 1982/84, Lecture Notes in Mathematics 1165), Springer-Verlag, Berlin, Heidelberg, New York, and Tokyo 1985, 36-51.