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arXiv · 2507.03940

Complex symplectic structures: deformations and cohomology

Giovanni Bazzoni·Marco Freibert·Adela Latorre·Nicoletta Tardini
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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.

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Giovanni Bazzoni, Marco Freibert, Adela Latorre, Nicoletta Tardini. 2025-07-05. Complex symplectic structures: deformations and cohomology. https://arxiv.org/abs/2507.03940

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