Geodesic
ALMOST CLOSED 1-FORMS
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 169-182

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DOI

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 non-singular variety. The result answers a question of Behrend–Fantechi. We correct here an error in our paper (D. Maulik, R Pandharipande and R. P. Thomas, Curves on K3 surfaces and modular forms, J. Topol.3 (2010) 937–996. arXiv:1001.2719v3), where an incorrect construction with the same claimed properties was proposed.
DOI : 10.1017/S0017089513000141
Mots-clés : 13D10, 14N35, 14J32 
PANDHARIPANDE, R.; THOMAS, R. P. ALMOST CLOSED 1-FORMS. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 169-182. doi: 10.1017/S0017089513000141
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     title = {ALMOST {CLOSED} {1-FORMS}},
     journal = {Glasgow mathematical journal},
     pages = {169--182},
     year = {2014},
     volume = {56},
     number = {1},
     doi = {10.1017/S0017089513000141},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000141/}
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