Given any toric subvariety Y of a smooth toric variety X of codimension k, we construct a
length k resolution of under the map of toric Frobenius. The resolutions are built from a …

We study the relationship between derived categories of factorizations on gauged Landau–
Ginzburg models related by variations of the linearization in Geometric Invariant Theory …

We study the relationship between derived categories of factorizations on gauged Landau-
Ginzburg models related by variations of the linearization in Geometric Invariant Theory …

Given a smooth projective toric variety X of Picard rank 2, we resolve the diagonal sheaf on
X× X by a linear complex of length dim⁡ X consisting of finite direct sums of line bundles. As …

This work establishes a condition that determines when strong generation in the bounded
derived category of a Noetherian J-2 scheme is preserved by the derived pushforward of a …

This work is concerned with both strong generation and (co) ghost index in the module
category of a commutative noetherian ring. A sufficiency criterion is established for such …

The Orlov spectrum is a new invariant of a triangulated category. It was introduced by D.
Orlov, building on work of A. Bondal-M. Van den Bergh and R. Rouquier. The supremum of …

Three notions of dimension for triangulated categories - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

We prove that for any normal toric variety, the Rouquier dimension of its bounded derived
category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent …

This work demonstrates classical generation is preserved by the derived pushforward along
the canonical morphism of a noncommutative scheme to its underlying scheme. There are …