Obstructions for Deformations of Complexes

Abstract

We develop two approaches to obstruction theory for deformations of derived isomorphism classes of complexes $Z^{\bullet }$ of modules for a profinite group $G$ over a complete local Noetherian ring $A$ of positive residue characteristic $\ell$.

arXiv comment26 pages. For better readability, the first version has been split into two papers: "Obstructions for Deformations of Complexes" (which is version 2 of the current arXiv:0901.0101) and "Finiteness Theorems for Deformations of Complexes" (which is a separate ArXiv submission in September, 2010)

References in corpus (1)

• Finiteness Theorems for Deformations of Complexes

Cited by in corpus (3)

• Deformations of complexes for finite dimensional algebras
• Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers
• Finiteness Theorems for Deformations of Complexes