Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Proof of Two-dimensional Jacobian Conjecture

Version 1 : Received: 8 December 2022 / Approved: 9 December 2022 / Online: 9 December 2022 (07:12:06 CET)
Version 2 : Received: 1 September 2023 / Approved: 4 September 2023 / Online: 6 September 2023 (03:33:44 CEST)

How to cite: Su, Y. Proof of Two-dimensional Jacobian Conjecture. Preprints 2022, 2022120171. https://doi.org/10.20944/preprints202212.0171.v1 Su, Y. Proof of Two-dimensional Jacobian Conjecture. Preprints 2022, 2022120171. https://doi.org/10.20944/preprints202212.0171.v1

Abstract

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

Keywords

Jacobian conjecture; Keller maps; injectivity of Keller maps

Subject

Computer Science and Mathematics, Algebra and Number Theory

Comments (2)

Comment 1
Received: 9 December 2022
Commenter:
The commenter has declared there is no conflict of interests.
Comment: The correct version of this paper was submitted to https://arxiv.org/abs/1603.01867 on December 5, 2021.
Some videos of my presentations of details of my proof of 2-dimensional Jacoian conjecture can be found in website:
https://www.koushare.com/topic-sc/i/Yucai-Su
Any comment or suggestion is very well welcome by sending to ycsu@tongji.edu.cn
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Comment 2
Received: 20 December 2022
Commenter: Xiaoya Shu
The commenter has declared there is no conflict of interests.
Comment: The paper is very interesting. It contains three main results (Theorems 1.2 - 1.4), which imply JC2.
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