Complex symplectic structures: deformations and cohomology

2025/07/05 by Bazzoni, Giovanni, Freibert, Marco, Latorre, Adela +1
#22E25 #53C56 #53D05 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2507.03940

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.

Citations

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