The Jacobian Conjecture as a problem in combinatorics
| dc.creator | Wright, David | |
| dc.date | 2005-11-08 | |
| dc.date | 2006-03-22 | |
| dc.date.accessioned | 2026-07-07T06:51:00Z | |
| dc.date.available | 2026-07-07T06:51:00Z | |
| dc.description | 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 $F=X-H$ with $H$ homogeneous and $JH^{3}=0$. Other special results are also derived. We pose a combinatorial statement which would give a complete proof the Jacobian Conjecture. | |
| dc.description | 19 pages; submitted for publication in an upcoming volume honoring Masayoshi Miyanishi | |
| dc.identifier | https://arxiv.org/abs/math/0511214 | |
| dc.identifier | http://arxiv.org/abs/math/0511214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104845 | |
| dc.subject | Combinatorics | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14R15; 05C05; 13A99 | |
| dc.title | The Jacobian Conjecture as a problem in combinatorics | |
| dc.type | text |