Family 048Algebraic and complex geometryNo LeanNot yet digested
A characteristic-zero counterexample to Lipman–Zariski
Constructs a singular normal affine complex surface with free rank-two tangent sheaf, disproving the characteristic-zero Lipman–Zariski conjecture.
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A singular normal affine surface with free tangent sheaf
Sep 23, 2026·paper.pdf
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.