Stable coordinate conjecture
Stable coordinate conjecture
Let be a commutative ring with one, let denote a polynomial ring in variables over , and let . A polynomial is a stable coordinate if it is a coordinate in for some . Stable coordinate conjecture. If is a -algebra and is a stable coordinate, then is a coordinate of . The conjecture asks whether stabilization can create coordinates that were not already coordinates. Its status is not resolved in the supplied text.
Sources & referencesView supporting material
Primary source
Drew Lewis, “Venereau-type polynomials as potential counterexamples”, arXiv:1007.2230 (2012).
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