Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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G. Bazzoni - M. Freibert - A. Latorre - N. Tardini

Complex symplectic structures: deformations and cohomology

created by tardini on 10 Mar 2026

[BibTeX]

preprint

Inserted: 10 mar 2026
Last Updated: 10 mar 2026

Year: 2025

ArXiv: 2507.03940 PDF

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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