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A singular normal affine surface with free tangent sheaf

Source: github.com/openai/math/tree/main/preprints/A-singular-norma…

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OpenAI Mathopenai-math/A-singular-normal-affine-surface-with-free-tangent-sheafSep 23, 2026math.AGAI-generatedscore 0

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.

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