2 citations · 6 across the 8 of their papers we have counts for
7 papers · 1 filter
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…
Reconstruction of a surface from the category of reflexive sheaves
Agnieszka Bodzenta, Alexey Bondal
We define a normal surface to be codim-2-saturated if any open embedding of into a normal surface with the complement of codimension 2 is an isomorphism. We show that any n…
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…
Canonical tilting relative generators
Agnieszka Bodzenta, Alexey Bondal
Given a relatively projective birational morphism of smooth algebraic spaces with dimension of fibers bounded by 1, we construct tilting relative (over ) genera…
Flops and spherical functors
Agnieszka Bodzenta, Alexey Bondal
We study derived categories of Gorenstein varieties X and X^+ connected by a flop. We assume that the flopping contractions f: X \to Y, f^+: X^+ \to Y have fibers of dimension boun…
DG quivers of smooth rational surfaces
Agnieszka Bodzenta
Let X be a smooth rational surface. We calculate a DG quiver of a full exceptional collection of line bundles on X obtained by an augmentation from a strong exceptional collection…
DG categories and exceptional collections
Agnieszka Bodzenta
Bondal and Kapranov describe how to assign to a full exceptional collection on a variety X a DG category C such that the bounded derived category of coherent sheaves on X is equiva…