OpenAI reports a complex Lipman–Zariski counterexample
- Mathematics
There is a singular normal integral affine surface over the complex numbers whose tangent module is free of rank two on the whole surface.
There is a singular normal integral affine surface over the complex numbers whose tangent module is free of rank two on the whole surface.
There is a singular normal integral affine surface over the complex numbers whose tangent module is free of rank two on the whole surface.
There is a singular normal integral affine surface over the complex numbers whose tangent module is free of rank two on the whole surface.
If correct, disproves the characteristic-zero Lipman–Zariski conjecture in the first dimension left by the cited isolated-singularity result.
Can a singular normal complex surface have a free tangent sheaf?
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