A new method in the Jacobian Conjecture
JIngzhou Sun
TL;DR
This paper presents a novel approach to the Jacobian conjecture, applying it to complex dimension 2 to establish new related results, advancing understanding in this longstanding mathematical problem.
Contribution
Introduces a new method for the Jacobian conjecture and demonstrates its effectiveness in proving new results in complex dimension 2.
Findings
New results related to the Jacobian conjecture in complex dimension 2
Validation of the new method's applicability to specific cases
Potential for further research using this approach
Abstract
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.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Geometry and complex manifolds