Deformation theory for a morphism in the derived category with fixed lift of the codomain
Abstract
Abstract We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, in the setting of derived categories of deformations of abelian categories. This extends the existing deformation-obstruction calculi for abelian categories and objects therein. As an application, we show that semiorthogonal decompositions deform uniquely in smooth and proper families of schemes.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Finite Group Theory Research
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 14
- Publication date
- 1 July 2026
- Language
- EN