Preprint in the OpenAI Math release
An explicit noncoordinate polynomial with affine three-space zero fibre
OpenAI
Abstract
We construct an explicit counterexample to the Abhyankar–Sathaye conjecture: a noncoordinate polynomial in four complex variables whose zero fibre is affine three-space. Adjoining variables gives counterexamples in every ambient dimension at least four.
open until 1 Jan 2028
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