Twisted sheaf deformations are controlled by RHom with formality for polystable twisted sheaves on Kodaira-dimension-0 minimal surfaces and projectively hyper-holomorphic twisted bundles on hyper-Kähler manifolds.
Meazzini,A DG-enhancement of Dq c (X ) with applications in deformation theory, Applied Categorical Structures 32(3) (2024), no
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Deformations of twisted sheaves and formality results
Twisted sheaf deformations are controlled by RHom with formality for polystable twisted sheaves on Kodaira-dimension-0 minimal surfaces and projectively hyper-holomorphic twisted bundles on hyper-Kähler manifolds.