4 citations · 10 across the 29 of their papers we have counts for
7 papers · 1 filter
Descent and generation for noncommutative coherent algebras over schemes
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
Our work shows forms of descent, in the fppf, h and étale topologies, for strong generation of the bounded derived category of a noncommutative coherent algebra over a scheme. Even…
Approximability and Rouquier dimension for noncommutative algebras over schemes
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
This work is concerned with approximability (à la Neeman) and Rouquier dimension for triangulated categories associated to noncommutative algebras over schemes. Amongst other thing…
Triangulated characterizations of singularities
Pat Lank, Sridhar Venkatesh
This work presents a range of triangulated characterizations for important classes of singularities such as derived splinters, rational singularities, and Du Bois singularities. An…
Classification and nonexistence for -structures on derived categories of schemes
Alexander Clark, Pat Lank, Kabeer Manali-Rahul +1
Given a suitable Noetherian scheme, we classify tensor -structures on the bounded derived category of coherent sheaves and its variants with prescribed support. Furthermore, we…
Closedness of the singular locus and generation for derived categories
Souvik Dey, Pat Lank
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 s…
Dévissage for generation in derived categories
Souvik Dey, Pat Lank
We study a form of dévissage for generation in derived categories of Noetherian schemes. First, we extend a result of Takahashi from the affine context to the global setting, showi…
Approximation by perfect complexes detects Rouquier dimension
Pat Lank, Noah Olander
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 Rouquier…