Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Jacobian conjecture

Known as: Jacobian problem, Keller's problem, Smale's sixteenth problem 
In mathematics, the Jacobian conjecture is a celebrated problem on polynomials in several variables. It was first posed in 1939 by Ott-Heinrich… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2006
2006
The Jacobian Conjecture can be generalized and is established : Let S be a polynomial ring over a field of characteristic zero in… Expand
Is this relevant?
2005
2005
Abstract The multidimensional sum with polynomial coefficients is computed with the help of the method of integral representation… Expand
Is this relevant?
2002
2002
Abstract. The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many… Expand
Is this relevant?
2001
2001
It is sufficient to consider in the Jacobian Conjecture (for every n > 1) only polynomial mappings of cubic linear form F (x) = x… Expand
Is this relevant?
Review
2000
Review
2000
In this paper we give an update survey of the most important results concerning the Jacobian conjecture: several equivalent… Expand
Is this relevant?
1998
1998
This paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result… Expand
Is this relevant?
1997
1997
VLADIMIR SHPILRAIN AND JIE-TAI YUAbstract. Let K[x,y] be the polynomial algebra in two variables over a fieldK of characteristic 0… Expand
Is this relevant?
1995
1995
Let F, G E C[x, y]. If the Jacobian determinant of F and G is 1, then G is said to be a Jacobian mate of F. If, in addition, G… Expand
Is this relevant?
1993
1993
Abstract Adjamagbo, K. and A. van den Essen, Eulerian operators and the Jacobian Conjecture, III, Journal of Pure and Applied… Expand
Is this relevant?
Highly Cited
1982
Highly Cited
1982
Introduction I. The Jacobian Conjecture 1. Statement of the Jacobian Problem; first observations 2. Some history of the Jacobian… Expand
Is this relevant?