We prove that among counterexamples to the Jacobian Conjecture, if there are any, we can find one of lowest degree, the coordinates of which have the form + terms of degree < m+n.
@article{bwmeta1.element.bwnjournal-article-apmv55z1p207bwm,
author = {S\l awomir Ko\l odziej},
title = {Jung's type theorem for polynomial transformations of $\mathbb{C}$$^2$},
journal = {Annales Polonici Mathematici},
volume = {55},
year = {1991},
pages = {207-212},
zbl = {0772.14007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p207bwm}
}
Sławomir Kołodziej. Jung's type theorem for polynomial transformations of ℂ². Annales Polonici Mathematici, Tome 55 (1991) pp. 207-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p207bwm/
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