Deformation theory of objects in homotopy and derived categories III: abelian categories
Algebraic Geometry
2018-08-13 v3 Category Theory
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 projective spaces.
Keywords
Cite
@article{arxiv.math/0702840,
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= {arXiv preprint arXiv:math/0702840},
year = {2018}
}
Comments
Alexander Efimov is a new co-author of this paper. Besides some minor changes, a new part (part 3) about noncommutative Grassmanians was added