Abstract
A special case of the Dolgachev-Weisfeiler conjecture asserts that residual coordinates of the polynomial algebra $A =\mathbb{C} [x]^{[n]}$, $n\geq 3$, are coordinates. It is well known that such polynomials are stable coordinates; however, all the examples constructed thus far are actually 1-stable coordinates. In this paper, we show that all residual coordinates of $A $ are 1-stable coordinates.
Citation
M'hammed El Kahoui. Mustapha Ouali. "A note on residual coordinates of polynomial rings." J. Commut. Algebra 10 (3) 317 - 326, 2018. https://doi.org/10.1216/JCA-2018-10-3-317
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