5 papers · 1 filter
Remarks on diagonal dimension for algebraic stacks
Pat Lank, Fei Peng
This note is concerned with the Rouquier dimension of the bounded derived category of coherent complexes on a Noetherian algebraic stack. Specifically, we study the diagonal dimens…
Frobenius generation for algebraic stacks
Pat Lank, Fei Peng
We introduce a notion of -finiteness for algebraic stacks in positive characteristic. Our main result shows that sufficiently many Frobenius pushforwards generate the bounded de…
Compact approximation and descent for algebraic stacks
Jack Hall, Alicia Lamarche, Pat Lank +1
This work focuses on approximation and generation for the derived category of complexes with quasi-coherent cohomology on algebraic stacks. Our methods establish that approximation…
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…
Equivalences of derived categories of sheaves on tame stacks
Fei Peng
Building on Olander's work on algebraic spaces, we prove Orlov's representability theorem relating fully faithful functors and Fourier--Mukai transforms between the bounded derived…