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Almost closed 1-forms · Around

2012

Almost closed 1-forms

Pandharipande, R., Thomas, R. P.

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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.

Built on

H. Matsumura, Commutative Ring Theory
1989
Earlier work this paper cites.
Symmetric obstruction theories and Hilbert schemes of points on threefolds
K. Behrend and B. Fantechi · 2008
Earlier work this paper cites.

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