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Paper detail

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II

This article is part of an ongoing investigation of the two-dimensional Jacobian conjecture. In the first paper of this series, we proved the generalized Magnus' formula. In this paper, inspired by cluster algebras, we introduce a sequence of new conjectures including the remainder vanishing conjecture. This makes the generalized Magnus' formula become a useful tool to show the two-dimensional Jacobian conjecture. In the forthcoming paper(s), we plan to prove the remainder vanishing conjecture.

preprint2022arXivOpen access
Jacob GlidewellWilliam E. HurstKyungyong LeeLi Li
math.ACmath.AG
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Jacob GlidewellWilliam E. HurstKyungyong LeeLi Li

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