相关论文: The 2-dimensional jacobian conjecture via Klein's …

We outline an approach to prove the two dimensional Jacobian Conjecture using the theory of fractals.

We show that the Jacobian conjecture of the two dimensional case is true.

We introduce a new method in the attempt to prove the Jacobian conjecture. In the complex dimension 2 case, we apply this method to prove some new results related the Jacobian conjecture.

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

Using the local bijectivity of Keller maps, we give a proof of two-dimensional Jacobian conjecture.

Any counterexample to the two-dimensional Jacobian Conjecture gives a rational map from one projective plane to another. We use some ideas of the Minimal Model Program to study the combinatorial structure of a rational surface, that is…

This article is part of an ongoing investigation of the two-dimensional Jacobian conjecture. In the first paper of this series, we proved the generalized Magnus' formula. In this paper, inspired by cluster algebras, we introduce a sequence…

We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

We present some motivations and discuss various aspects of an approach to the Jacobian Conjecture in terms of irreducible elements and square-free elements.

We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.

The Jacobian conjecture over a field of characteristic zero is considered directly in view of the nonlinear partial differential equations it is associated with. Exploring the integrals of such partial differential equations, this work…

The aim here is to continue the investigation in \cite{AB} of Jacobians of a Klein surface and also to correct an error in \cite{AB}.

The paper titled "Cremona problem in dimension 2" by W. Bartenwerfer presented a flawed attempt at proving the Jacobian Conjecture. Our aim is to provide a thorough analysis of the author's approach, highlighting the errors that were made…

The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

In this article we encode Hadwiger's covering conjecture and Borsuk's partition conjecture into continuous functions defined on the spaces of convex bodies, propose a four-step program to approach them, and obtain some partial results.

We prove a series of Stephan's conjectures concerning Pascal triangle modulo 2 and give a polynomial generalization.

We prove the Jacobian Conjecture for the space of all the inner functions in the unit disc.

Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. Also, we study Jacobi-Lie systems on these real low-dimensional Lie groups. Our results are illustrated…

We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-example to a more general statement known as the Moments Vanishing…