The Jacobian Conjecture as a problem in combinatorics

David Wright

The Jacobian Conjecture as a problem in combinatorics

组合数学 2007-05-23 v2 交换代数代数几何

作者: David Wright

摘要

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.

关键词

jacobian conjecture conjectures and proofs jacobi forms

引用

@article{arxiv.math/0511214,
  title  = {The Jacobian Conjecture as a problem in combinatorics},
  author = {David Wright},
  journal= {arXiv preprint arXiv:math/0511214},
  year   = {2007}
}

备注

19 pages; submitted for publication in an upcoming volume honoring Masayoshi Miyanishi

The Jacobian Conjecture as a problem in combinatorics

摘要

关键词

引用

备注

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