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

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

2007-02-27

arxiv.org/abs/math/0702840v3

Mathematics

Algebraic Geometry

Alexander Efimov is a new co-author of this paper. Besides some minor changes, a new part (part 3) about noncommutative Grassm

Scientific paper

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.

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