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math.AG2025
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…
math.AG2025
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…
math.AG2025
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…