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ALMOST CLOSED 1-FORMS
Published online by Cambridge University Press: 13 August 2013
Abstract
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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 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.
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- Copyright © Glasgow Mathematical Journal Trust 2013
References
REFERENCES
1.Behrend, K., Donaldson–Thomas invariants via microlocal geometry, Ann. Math. 170 (2009) 1307–1338. math.AG/0507523.Google Scholar
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3.Brav, C., Bussi, V. and Joyce, D., A Darboux theorem for derived schemes with shifted symplectic structure, (2013) arXiv:1305.6302.Google Scholar
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5.Maulik, D., Pandharipande, R and Thomas, R. P., Curves on K3 surfaces and modular forms, J. Topol. 3 (2010) 937–996. arXiv:1001.2719v3.Google Scholar
6.Pantev, T., Toën, B., Vaquie, M. and Vezzosi, G., Quantization and derived moduli spaces I: shifted symplectic structures, arXiv:1111.3209.Google Scholar
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