An explicit degree-five polynomial in four complex variables is not a coordinate there but becomes a coordinate after one new variable; each fiber is affine three-space without an ambient rectification.
An explicit degree-five polynomial in four complex variables is not a coordinate there but becomes a coordinate after one new variable; each fiber is affine three-space without an ambient rectification.
An explicit degree-five polynomial in four complex variables is not a coordinate there but becomes a coordinate after one new variable; each fiber is affine three-space without an ambient rectification.
If correct, refutes the stable-coordinate conjecture at its first possible complex dimension and gives a nonrectifiable affine-three-space embedding.
Can a polynomial become a coordinate after one extra variable while failing to be a coordinate in four variables?
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OpenAI reports a four-variable stable-coordinate counterexample
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