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Research Article | Open Access

A note on Kaliman's weak Jacobian Conjecture

Yan Tian1, Chaochao Sun2( )
School of Mathematics, Liaoning Normal University, Dalian 116029, China
School of Mathematics and Statistics, Linyi University, Linyi 276005, China
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Abstract

We improve Kaliman's weak Jacobian Conjecture by the Hurwitz formula and resolution of singular curves. Furthermore, we give a more general form of Kaliman's weak Jacobian Conjecture.

Keywords

Jacobian ConjectureKeller mapHurwitz formula
CLC number: 13F20, 14R15

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 30406-30412
DOI: 10.3934/math.20241467

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Cite this article:
Tian Y, Sun C. A note on Kaliman's weak Jacobian Conjecture. AIMS Mathematics, 2024, 9(11): 30406-30412. https://doi.org/10.3934/math.20241467

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Received: 07 July 2024
Revised: 22 September 2024
Accepted: 08 October 2024
Published: 25 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)