Descent conditions for generation in derived categories
P Lank - Journal of Pure and Applied Algebra, 2024 - Elsevier
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 …
derived category of a Noetherian J-2 scheme is preserved by the derived pushforward of a …
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 …
Triangulated characterizations of singularities
P Lank, S Venkatesh - arXiv preprint arXiv:2405.04389, 2024 - arxiv.org
This work presents a range of triangulated characterizations for important classes of
singularities such as derived splinters, rational singularities, and Du Bois singularities. We …
singularities such as derived splinters, rational singularities, and Du Bois singularities. We …