Algebroids and Jacobian conjecture
Dang Vu Giang
TL;DR
This paper proves the Jacobian conjecture by employing Galois theory over function fields and analyzing algebroids at singular points, establishing the injectivity of Kellerian mappings.
Contribution
It introduces a novel proof of the Jacobian conjecture using Galois theory and properties of algebroids at singularities.
Findings
The Jacobian conjecture is proven to be true.
Injectivity of Kellerian mappings is established.
Galois theory over function fields is effectively applied.
Abstract
Using the Galois theory over function field, and the holomorphy of algebroids defined via irreducible polynomial at singular points, we prove the injectivity of any kellerian mapping. The famous Jacobian conjecture is true.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Algebraic Geometry and Number Theory