3 papers
math.AG2025
Categorifying non-commutative deformations
Agnieszka Bodzenta, Alexey Bondal
We define the functor of non-commutative deformations of an -tuple of objects in an arbitrary -linear abelian category . In o…
math.RT2024
Abelian envelopes of exact categories and highest weight categories
Agnieszka Bodzenta, Alexey Bondal
We define admissible and weakly admissible subcategories in exact categories and prove that the former induce semi-orthogonal decompositions on the derived categories. We develop t…
math.AG2024
Root stacks and periodic decompositions
Agnieszka Bodzenta, Will Donovan
For an effective Cartier divisor D on a scheme X we may form an nth root stack. Its derived category is known to have a semiorthogonal decomposition with components given by D and…