Towards the Jacobian Conjecture

We first show that if there is a counterexample to the two-dimensional Jacobian conjecture, then there exists a nonempty closed smooth affine surface in [Formula: see text] satisfying various properties. Next, we conjecture that such a surface does not exist.

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Publication Details

Journal
Algebra Colloquium
Published
2024-08-29
DOI
https://doi.org/10.1142/s1005386724000282
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
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article

Towards the Jacobian Conjecture

Yucai Su
Algebra Colloquium
Advanced Differential Equations and Dynamical Systems
article

Towards the Jacobian Conjecture

Yucai Su
article en

Abstract

We first show that if there is a counterexample to the two-dimensional Jacobian conjecture, then there exists a nonempty closed smooth affine surface in [Formula: see text] satisfying various properties. Next, we conjecture that such a surface does not exist.

Algebra ColloquiumVol. 31(03)
Tongji University (CN), Jimei University (CN)
Openalex Percentile: Top 77%
Advanced Differential Equations and Dynamical Systems
DOISourceOpenAlex
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Towards the Jacobian Conjecture — Yucai Su · Algebra Colloquium (2024) | TGRS Research Map | TGRS