7 papers · 1 filter
The Azumification of orders
Timothy De Deyn
We construct a stacky resolution of singularities for certain noncommutative spaces which can be viewed as `finite noncommutative extensions' of schemes. More precisely, we show th…
Categorical characterizations of regularity for algebraic stacks
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul +1
For a Noetherian scheme of finite Krull dimension, Neeman recently established two characterizations of the regularity of using strong generators and bounded -structures…
A note on quasi-perfect morphisms
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
This note is concerned with quasi-perfect morphisms between Noetherian algebraic spaces. In particular, we study the local behavior of quasi-perfect proper morphisms. We show that…
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.
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. Eve…
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…