Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse

Gianluca Gorni; Gaetano Zampieri

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 3, page 285-290
  • ISSN: 0066-2216

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Gianluca Gorni, and Gaetano Zampieri. "Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse." Annales Polonici Mathematici 64.3 (1996): 285-290. <http://eudml.org/doc/269993>.

@article{GianlucaGorni1996,
abstract = {},
author = {Gianluca Gorni, Gaetano Zampieri},
journal = {Annales Polonici Mathematici},
keywords = {Yagzhev polynomial mappings; Jacobian conjecture; local inverse; Taylor series},
language = {eng},
number = {3},
pages = {285-290},
title = {Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse},
url = {http://eudml.org/doc/269993},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Gianluca Gorni
AU - Gaetano Zampieri
TI - Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 3
SP - 285
EP - 290
AB -
LA - eng
KW - Yagzhev polynomial mappings; Jacobian conjecture; local inverse; Taylor series
UR - http://eudml.org/doc/269993
ER -

References

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  1. [1] H. Bass, E. Connell and D. Wright, The Jacobian conjecture: reduction of degree and formal expansion of the inverse, Bull. Amer. Math. Soc. 7 (1982), 287-330. Zbl0539.13012
  2. [2] A. Białynicki-Birula and M. Rosenlicht, Injective morphisms of real algebraic varieties, Proc. Amer. Math. Soc. 13 (1962), 200-203. Zbl0107.14602
  3. [3] B. Deng, Automorphic conjugation, global attractor, and the Jacobian conjecture, University of Nebraska-Lincoln, 1995. 
  4. [4] B. Deng, G. H. Meisters and G. Zampieri, Conjugation for polynomial mappings, Z. Angew. Math. Phys. 46 (1995), 872-882. Zbl0840.58013
  5. [5] L. M. Drużkowski, An effective approach to Keller's Jacobian conjecture, Math. Ann. 264 (1983), 303-313. Zbl0504.13006
  6. [6] L. M. Drużkowski, The Jacobian conjecture, Institute of Mathematics, Polish Academy of Sciences, preprint 492 (1991). Zbl0772.14006
  7. [7] L. M. Drużkowski and K. Rusek, The formal inverse and the Jacobian conjecture, Ann. Polon. Math. 46 (1985), 85-90. Zbl0644.12010
  8. [8] A. van den Essen (ed.), Automorphisms of Affine Spaces, Proc. of the Curaçao Conference, Kluwer Acad. Publ., 1985. 
  9. [9] G. Gorni and G. Zampieri, On the existence of global analytic conjugations for polynomial mappings of Yagzhev type, J. Math. Anal. Appl., to appear. Zbl0868.32028
  10. [10] O. H. Keller, Ganze Cremona Transformationen, Monatsh. Math. Phys. 47 (1939), 299-306. Zbl65.0713.02
  11. [11] W. Rudin, Injective polynomial maps are automorphisms, Amer. Math. Monthly 102 (1995), 540-543. Zbl0972.32015
  12. [12] A. V. Yagzhev, Keller's problem, Siberian Math. J. 21 (1980), 747-754. Zbl0466.13009

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