This is a preview of subscription content, log in via an institution to check access.
Literature cited
B. Bass, E. H. Connel, and D. Wright, “The Jacobian conjecture: reduction of degree and formal expansion of the inverse,” Bull. Am. Math. Soc.,7, No. 2, 287–330 (1982).
C. P. Ramanujam, “A topological characterization of the affine plane as an algebraic variety,” Ann. Math.,94, 69–88 (1971).
S. Yu. Orevkov, “Threefold polynomial mappings of C2,” Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 6, 1231–1240 (1986).
K. A. Kodaira, “A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds,” Ann. Math.,75, No. 1, 146–162 (1962).
V. I. Danilov, “Topology of toroid manifolds,” Usp. Mat. Nauk,33, No. 2, 85–134 (1978).
H. B. Laufer, “Taut two-dimensional singularities,” Math. Ann.,205, 131–164 (1973).
A. G. Khovanskii, “Newton manifolds (resolving singularities),” in: Contemporary Problems of Mathematics [in Russian], Vol. 22, VINITI, Moscow (1983).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 47, No. 1, pp. 127–136, January, 1990.
The author is very grateful to A. G. Vintushkin for posing the problem, and for many useful discussions and remarks concerning the preparation of the manuscript.
Rights and permissions
About this article
Cite this article
Orevkov, S.Y. An example in connection with the Jacobian conjecture. Mathematical Notes of the Academy of Sciences of the USSR 47, 82–88 (1990). https://doi.org/10.1007/BF01157289
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01157289