Symmetric Jacobians
Algebraic Geometry
2016-03-24 v3
Abstract
This article is about polynomial maps with a certain symmetry and/or antisymmetry in their Jacobians, and whether the Jacobian Conjecture is satisfied for such maps, or whether it is sufficient to prove the Jacobian Conjecture for such maps. For instance, we show that it suffices to prove the Jacobian conjecture for polynomial maps x + H over C such that JH satisfies all symmetries of the square, where H is homogeneous of arbitrary degree d >= 3.
Cite
@article{arxiv.1206.2865,
title = {Symmetric Jacobians},
author = {Michiel de Bondt},
journal= {arXiv preprint arXiv:1206.2865},
year = {2016}
}
Comments
18 pages, minor corrections, grayscale eepic boxes have been replaced by colorful tikz boxes