On the formal inverse of polynomial endomorphisms

• Autorzy: Piotr Ossowski
• Języki publikacji: EN

Słowa kluczowe

EN

rooted trees; Jacobian Conjecture; polynomial automorphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 1
• Strony: 97-104

Daty

wydano

1998

otrzymano

1998-01-30

Twórcy

autor

Piotr Ossowski

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

• [1] H. Bass, E. H. Connell and D. Wright, The Jacobian conjecture: Reduction of degree and formal expansion of the inverse, Bull. Amer. Math. Soc. (N.S.) 7 (1982), 287-330.
• [2] L. M. Drużkowski and K. Rusek, The formal inverse and the Jacobian conjecture, Ann. Polon. Math. 46 (1985), 85-90.
• [3] G. Gorni and G. Zampieri, Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse, Ann. Polon. Math. 64 (1996), 285-290.
• [4] P. Ossowski, A counterexample to a conjecture of Bass, Connell and Wright, Colloq. Math. 77 (1998), 315-320.
• [5] V. L. Popov and E. B. Vinberg, Invariant theory, in: Algebraic Geometry IV, Encyclopaedia Math. Sci. 55, Springer, 1994, 123-278.
• [6] C. E. Praeger and P. Schultz, On the automorphisms of rooted trees with height distributions, in: Combinatorial Mathematics X (Adelaide, 1982), Lecture Notes in Math. 1036, Springer, 1983, 319-334.
• [7] R. P. Stanley, Enumerative Combinatorics, Vol. 1, Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press, 1997.
• [8] D. Wright, Formal inverse expansion and the Jacobian conjecture, J. Pure Appl. Algebra 48 (1987), 199-219.
• [9] A. V. Yagzhev, On Keller's problem, Sibirsk. Mat. Zh. 21 (1980), no. 5, 141-150 (in Russian).