Fei Peng

collaborators

3 papers

math.AG2025

Orlov's theorem over a quasiexcellent ring

Fei Peng

Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov's representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces…

math.CO2024

An improved bound on Seymour's second neighborhood conjecture

Hao Huang, Fei Peng

Seymour's celebrated second neighborhood conjecture, now more than thirty years old, states that in every oriented digraph, there is a vertex $u$ such that the size of its second o…

math.GR2024

Measure doubling in unimodular locally compact groups and quotients

Zuxiang Kong, Fei Peng, Chieu-Minh Tran

We consider a (possibly discrete) unimodular locally compact group $G$ with Haar measure $I^¼_{G}$ , and a compact $A \subseteq G$ of positive measure with $I^¼_{G} (A^{2}) \leq K I^¼_{G} (A)$ . Let…