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arxiv: 1204.3958 · v1 · pith:JIGXC5QWnew · submitted 2012-04-18 · 🧮 math.AG

Almost closed 1-forms

classification 🧮 math.AG
keywords almostclosedalgebraicanswersbehrend-fantechiclaimedconstructconstruction
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We construct an algebraic almost closed 1-form with zero scheme not expressible (even locally) as the critical locus of a holomorphic function on a nonsingular variety. The result answers a question of Behrend-Fantechi. We correct here an error in our paper [MPT] where an incorrect construction with the same claimed properties was proposed.

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