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ALMOST CLOSED 1-FORMS

Published online by Cambridge University Press:  13 August 2013

R. PANDHARIPANDE  and
R. P. THOMAS
R. PANDHARIPANDE
Affiliation:
Department of Mathematics, ETH Zürich, Zurich, Switzerland e-mail: rahul@math.ethz.ch
R. P. THOMAS
Affiliation:
Department of Mathematics, Imperial College, London, SW7 2AZ, United Kingdom e-mail: richard.thomas@imperial.ac.uk
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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.

Keywords

13D1014N3514J32
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 169 - 182
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

REFERENCES

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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
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