On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II
Commutative Algebra
2022-06-23 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2205.12792,
title = {On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II},
author = {Jacob Glidewell and William E. Hurst and Kyungyong Lee and Li Li},
journal= {arXiv preprint arXiv:2205.12792},
year = {2022}
}