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math.AG2026
Existence of coarse moduli superspaces for Deligne--Mumford superstacks
Fei Peng
We prove that every Deligne--Mumford superstack over 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…