Enhanced adic formalism and perverse t-structures for higher Artin stacks

Abstract

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 $\infty$-categories in the sense of Lurie, by enhancing all the derived categories, functors, and natural transformations to the level of $\infty$-categories.

53 pages. v2: reformulation

References in corpus (3)

• Higher Topos Theory
• Enhanced six operations and base change theorem for higher Artin stacks
• Gluing restricted nerves of $\infty$-categories

Cited by in corpus (3)

• The intersection motive of the moduli stack of shtukas
• Cohomological Hall algebras and vertex algebras
• The Atiyah-Bott formula and connectivity in chiral Koszul duality