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

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