Approximation by perfect complexes detects Rouquier dimension
P Lank, N Olander - arXiv preprint arXiv:2401.10146, 2024 - arxiv.org
This work explores bounds on the Rouquier dimension in the bounded derived category of
coherent sheaves on Noetherian schemes. By utilizing approximations, we exhibit that …
coherent sheaves on Noetherian schemes. By utilizing approximations, we exhibit that …
A note on generation and descent for derived categories of noncommutative schemes
This work demonstrates classical generation is preserved by the derived pushforward along
the canonical morphism of a noncommutative commutative scheme to its underlying …
the canonical morphism of a noncommutative commutative scheme to its underlying …
D\'{e} vissage for generation in derived categories
This work exhibits that the essential image of the derived pushforward along a proper
surjective morphism of Noetherian schemes generates the targets derived category of …
surjective morphism of Noetherian schemes generates the targets derived category of …
Closedness of the singular locus and generation for derived categories
This work is concerned with a relationship regarding the closedness of the singular locus of
a Noetherian scheme and existence of classical generators in its category of coherent …
a Noetherian scheme and existence of classical generators in its category of coherent …