2014/04/04 by Yifeng Liu, Weizhe Zheng, Liu, Yifeng +1
Mathematics · #14A20 #14F05 (Primary) #14F20 #18D05 #18G30 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1404.1128
openalex publication_date 2014/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this sequel of arXiv:1211.5294 and arXiv:1211.5948, we develop an adic formalism for étale cohomology of Artin stacks and prove several desired properties including the base change theorem. In addition, we define perverse t-structures on Artin stacks for general perversity, extending Gabber's work on schemes. Our results generalize results of Laszlo and Olsson on adic formalism and middle perversity. We continue to work in the world of ∞-categories in the sense of Lurie, by enhancing all the derived categories, functors, and natural transformations to the level of ∞-categories.