Almost closed 1-forms

Details Almost closed 1-forms Almost closed 1-forms

2012-04-18

arxiv.org/abs/1204.3958v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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