English

The Gaussian Moments Conjecture and the Jacobian Conjecture

Commutative Algebra 2022-08-12 v1 Probability Statistics Theory Statistics Theory

Abstract

We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-example to a more general statement known as the Moments Vanishing Conjecture .

Keywords

Cite

@article{arxiv.1506.05192,
  title  = {The Gaussian Moments Conjecture and the Jacobian Conjecture},
  author = {Harm Derksen and Arno van den Essen and Wenhua Zhao},
  journal= {arXiv preprint arXiv:1506.05192},
  year   = {2022}
}