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Power linear Keller maps of dimension three

Author(s): Charles Ching-An Cheng
Journal: Proc. Amer. Math. Soc. 129 (2001), 2819-2822.
MSC (2000): Primary 14R15, 14R10
Posted: February 22, 2001
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Abstract: In this paper it is proved that a power linear Keller map of dimension three over a field of characteristic zero is linearly triangularizable.

References:

[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. MR 83k:14028

[2]
L. M. Dru.zkowski, An effective approach to Keller's Jacobian conjecture, Math. Ann. 264 (1983), 303-313. MR 85b:14015a

[3]
L. M. Dru.zkowski, The Jacobian conjecture in case of rank or corank less than three, J. Pure Appl. Algebra 85 (1993), 233-244. MR 93m:14011

[4]
A. R. P. van den Essen, Seven lectures in polynomial automorphisms, Automorphisms of Affine Spaces, Kluwer, 1995, pp. 3-39.

[5]
H. W. E. Jung, Über Ganze birationale Transformationen der Ebene, J. Reine Angew Math. 184 (1942), 161-174. MR 5:74f

[6]
W. van der Kulk, On polynomial rings with two variables, Nieuw archief voor Wiskunde 1 (1953), 33-41. MR 14:941f

[7]
D. Wright, The Jacobian conjecture: linear triangularization for cubics in dimension three, Linear and Multilinear Algebra 34 (1993), 85-97. MR 96j:14008

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Additional Information:

Charles Ching-An Cheng
Affiliation: Department of Mathematics and Statistics, Oakland University, Rochester, Michigan 48309--4401
Email: cheng@oakland.edu

DOI: 10.1090/S0002-9939-01-05871-3
PII: S 0002-9939(01)05871-3
Keywords: Polynomial map, invertible map, linearly triangularizable map, tame, Jacobian conjecture
Received by editor(s): August 1, 1999
Received by editor(s) in revised form: February 2, 2000
Posted: February 22, 2001
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 2001, American Mathematical Society

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