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T-structures on dg-categories and derived deformations

Francesco GenoveseWendy LowenMichel Van den Bergh
Dec 2022
摘要
This paper is a sequel to "t-structures and twisted complexes on derivedinjectives" by the same authors. We develop the foundations of theinfinitesimal derived deformation theory of pretriangulated dg-categoriesendowed with t-structures. This generalizes the deformation theory of abeliancategories developed by the last two authors. We show how deformations ofdg-categories of derived injectives yield derived deformations of theassociated t-structures.
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