论文标题
关于二维雅各布的猜想：Magnus的公式重新审视，II
On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II
论文作者
论文摘要
本文是对二维雅各布猜想的持续调查的一部分。在本系列的第一篇论文中，我们证明了广义的马格努斯公式。在本文中，受群集代数的启发，我们引入了一系列新的猜想，包括剩余的消失猜想。这使得Magnus的公式成为显示二维Jacobian猜想的有用工具。在即将发表的论文中，我们计划证明其余的消失猜想。
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.
