4 papers
Nonexistence of singly compactly generated -structures for schemes
Anirban Bhaduri, Timothy De Deyn, Michal Hrbek +2
We show the first instances of schemes whose standard aisles on their derived category of quasi-coherent sheaves are not singly compactly generated.
Descending strong generation in algebraic geometry
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
We formalize the main approach for showing Zariski descent-type statements for strong generation of triangulated categories associated to algebro-geometric objects. This recovers v…
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…