Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 048-01. A singular normal affine surface with free tangent sheaf

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OpenAI@2026-10-07#rem:oai-p-048-01

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Authors: OpenAI. Family 048.

Title: A singular normal affine surface with free tangent sheaf.

Abstract: We construct a singular normal affine complex surface whose tangent sheaf is free of rank two. This disproves the Lipman–Zariski conjecture in characteristic zero.

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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