Preprint in the OpenAI Math release
A singular normal affine surface with free tangent sheaf
OpenAI
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.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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