2025/11/13 by Belmans, Pieter, Lowen, Wendy, Okawa, Shinnosuke +1
#Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2511.10312
We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, to derived categories of flat nilpotent deformations of abelian categories. As an application, we give an alternative proof that semiorthogonal decompositions deform uniquely in smooth proper families of schemes.