Complex symplectic structures: deformations and cohomology
Differential Geometry
2025-07-08 v1 Complex Variables
Symplectic Geometry
Abstract
We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of compact complex symplectic manifolds, obtaining some topological obstructions to their existence.
Cite
@article{arxiv.2507.03940,
title = {Complex symplectic structures: deformations and cohomology},
author = {Giovanni Bazzoni and Marco Freibert and Adela Latorre and Nicoletta Tardini},
journal= {arXiv preprint arXiv:2507.03940},
year = {2025}
}
Comments
17 pages, no figures. Comments are welcome!