Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 049-02. An explicit noncoordinate polynomial with affine three-space zero fibre
Manuscript map · lines 3505–3514
OpenAI@2026-10-07#rem:oai-p-049-02
Authors: OpenAI. Family 049.
Title: An explicit noncoordinate polynomial with affine three-space zero fibre.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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