English

Almost closed 1-forms

Algebraic Geometry 2014-08-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1204.3958,
  title  = {Almost closed 1-forms},
  author = {R. Pandharipande and R. P. Thomas},
  journal= {arXiv preprint arXiv:1204.3958},
  year   = {2014}
}

Comments

16 pages

R2 v1 2026-06-21T20:51:09.356Z