# Deformation theory of objects in homotopy and derived categories III: abelian categories

@article{Efimov2011DeformationTO, title={Deformation theory of objects in homotopy and derived categories III: abelian categories}, author={Alexander I. Efimov and Valery A. Lunts and Dmitri O. Orlov}, journal={Advances in Mathematics}, year={2011}, volume={226}, pages={3857-3911} }

Abstract This is the third paper in a series. In Part I we developed a deformation theory of objects in homotopy and derived categories of DG categories. Here we show how this theory can be used to study deformations of objects in homotopy and derived categories of abelian categories. Then we consider examples from (noncommutative) algebraic geometry. In particular, we study noncommutative Grassmanians that are true noncommutative moduli spaces of structure sheaves of projective subspaces in… Expand

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