ArticleOriginal scientific text
Title
On the formal inverse of polynomial endomorphisms
Authors 1
Affiliations
- Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Keywords
rooted trees, Jacobian Conjecture, polynomial automorphisms
Bibliography
- 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.
- L. M. Drużkowski and K. Rusek, The formal inverse and the Jacobian conjecture, Ann. Polon. Math. 46 (1985), 85-90.
- 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.
- P. Ossowski, A counterexample to a conjecture of Bass, Connell and Wright, Colloq. Math. 77 (1998), 315-320.
- V. L. Popov and E. B. Vinberg, Invariant theory, in: Algebraic Geometry IV, Encyclopaedia Math. Sci. 55, Springer, 1994, 123-278.
- 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.
- R. P. Stanley, Enumerative Combinatorics, Vol. 1, Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press, 1997.
- D. Wright, Formal inverse expansion and the Jacobian conjecture, J. Pure Appl. Algebra 48 (1987), 199-219.
- A. V. Yagzhev, On Keller's problem, Sibirsk. Mat. Zh. 21 (1980), no. 5, 141-150 (in Russian).