3 papers
math.AG2026
Highest weight categories via pairs of dual exceptional sequences
Agnieszka Bodzenta, Alexey Bondal
In this paper we present criteria in terms of dual pairs of exceptional sequences for an abelian category to be highest weight. The criteria are applied in three situations of geom…
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…