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arxiv: 1311.5141 · v1 · pith:RMM2ZVSRnew · submitted 2013-11-20 · 🧮 math.AG · math.CV

A weak version of the Lipman-Zariski conjecture

classification 🧮 math.AG math.CV
keywords locallyadmitsbasiscommutingcomplexconjectureconsistingfields
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Let $X$ be a normal complex space such that the tangent sheaf $T_X$ is locally free and locally admits a basis consisting of pairwise commuting vector fields. Then $X$ is smooth.

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