A note on Kaliman's weak Jacobian Conjecture

Yan Tian; Chaochao Sun; Yan Tian; Chaochao Sun

doi:10.3934/math.20241467

AIMS Mathematics

2024, Volume 9, Issue 11: 30406-30412. doi: 10.3934/math.20241467

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Research article

A note on Kaliman's weak Jacobian Conjecture

Yan Tian ¹,
Chaochao Sun ^{2
,
,}

1.
School of Mathematics, Liaoning Normal University, Dalian 116029, China
2.
School of Mathematics and Statistics, Linyi University, Linyi 276005, China

Received: 07 July 2024 Revised: 22 September 2024 Accepted: 08 October 2024 Published: 25 October 2024
MSC : 13F20, 14R15

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.
- Jacobian Conjecture,
- Keller map,
- Hurwitz formula
Citation: Yan Tian, Chaochao Sun. A note on Kaliman's weak Jacobian Conjecture[J]. AIMS Mathematics, 2024, 9(11): 30406-30412. doi: 10.3934/math.20241467

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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.

References

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