On the formal inverse of polynomial endomorphisms

Piotr Ossowski

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 1, page 97-104
  • ISSN: 0010-1354

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Ossowski, Piotr. "On the formal inverse of polynomial endomorphisms." Colloquium Mathematicae 78.1 (1998): 97-104. <http://eudml.org/doc/210608>.

@article{Ossowski1998,
author = {Ossowski, Piotr},
journal = {Colloquium Mathematicae},
keywords = {rooted trees; Jacobian Conjecture; polynomial automorphisms; polynomial endomorphisms; Jacobian conjecture},
language = {eng},
number = {1},
pages = {97-104},
title = {On the formal inverse of polynomial endomorphisms},
url = {http://eudml.org/doc/210608},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Ossowski, Piotr
TI - On the formal inverse of polynomial endomorphisms
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 1
SP - 97
EP - 104
LA - eng
KW - rooted trees; Jacobian Conjecture; polynomial automorphisms; polynomial endomorphisms; Jacobian conjecture
UR - http://eudml.org/doc/210608
ER -

References

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  1. [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. Zbl0539.13012
  2. [2] L. M. Drużkowski and K. Rusek, The formal inverse and the Jacobian conjecture, Ann. Polon. Math. 46 (1985), 85-90. Zbl0644.12010
  3. [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. Zbl0868.12001
  4. [4] P. Ossowski, A counterexample to a conjecture of Bass, Connell and Wright, Colloq. Math. 77 (1998), 315-320. Zbl0942.13011
  5. [5] V. L. Popov and E. B. Vinberg, Invariant theory, in: Algebraic Geometry IV, Encyclopaedia Math. Sci. 55, Springer, 1994, 123-278. 
  6. [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. [7] R. P. Stanley, Enumerative Combinatorics, Vol. 1, Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press, 1997. 
  8. [8] D. Wright, Formal inverse expansion and the Jacobian conjecture, J. Pure Appl. Algebra 48 (1987), 199-219. Zbl0666.12017
  9. [9] A. V. Yagzhev, On Keller's problem, Sibirsk. Mat. Zh. 21 (1980), no. 5, 141-150 (in Russian). Zbl0466.13009

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