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.
Perspectives on four decades. Algebraic Geometry 1980 – 2020. In memory of Alberto Collino
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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.