Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426150 | Advances in Mathematics | 2011 | 55 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov,