Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
- Authors
- Stepanova, Maria A.
- Contact information
- Stepanova, Maria A.: Faculty of Mathematics and Mechanics Lomonosov Moscow State University Leninskie Gory, GSP-2, Moscow, 119992 Russia;
- Keywords
- analytical complexity
- Abstract
We show that a polynomial mapping of the type (x!F[x+f(a(x)+b(y))]; y!G[y+g(c(x)+d(y))]), where (a; b; c; d; f; g; F;G) are polynomials with non-zero Jacobian is a composition of no more than 3 linear or triangular transformations. This result, however, leaves the possibility of existence of a counterexample of polynomial complexity two
- Pages
- 776–780
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109066
Journal of Siberian Federal University. Mathematics & Physics / Jacobian Conjecture for Mappings of a Special Type in C²
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