Fei Peng

activity

20242026

collaborators

6 papers

math.AG2026

Existence of coarse moduli superspaces for Deligne--Mumford superstacks

Fei Peng

We prove that every Deligne--Mumford superstack over $Z [1/2]$ with finite inertia admits a coarse moduli superspace. This generalizes the Keel--Mori theorem to the super s…

math.AG2026

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…

math.AG2025

Frobenius generation for algebraic stacks

Pat Lank, Fei Peng

We introduce a notion of $F$ -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 $X$ of finite Krull dimension, Neeman recently established two characterizations of the regularity of $X$ using strong generators and bounded $t$ -structures…

math.AG2024

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…