The Jacobian Conjecture as a problem in combinatorics
Combinatorics
2007-05-23 v2 Commutative Algebra
Algebraic Geometry
Abstract
The Jacobian Conjecture has been reduced to the symmetric homogeneous case. In this paper we give an inversion formula for the symmetric case and relate it to a combinatoric structure called the Grossman-Larson Algebra. We use these tools to prove the symmetric Jacobian Conjecture for the case with homogeneous and . Other special results are also derived. We pose a combinatorial statement which would give a complete proof the Jacobian Conjecture.
Cite
@article{arxiv.math/0511214,
title = {The Jacobian Conjecture as a problem in combinatorics},
author = {David Wright},
journal= {arXiv preprint arXiv:math/0511214},
year = {2007}
}
Comments
19 pages; submitted for publication in an upcoming volume honoring Masayoshi Miyanishi