On the \'etale homotopy type of higher stacks
From MaRDI portal
Publication:5037507
zbMath1493.14033arXiv1511.07830MaRDI QIDQ5037507
Publication date: 1 March 2022
Full work available at URL: https://arxiv.org/abs/1511.07830
Topoi (18B25) Homotopy theory and fundamental groups in algebraic geometry (14F35) Generalizations (algebraic spaces, stacks) (14A20) Homology with local coefficients, equivariant cohomology (55N25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singular chains on topological stacks. I.
- Homotopy types of topological stacks
- Étale homotopy types of moduli stacks of polarised abelian schemes
- Pro-categories in homotopy theory
- Universal covering spaces and fundamental groups in algebraic geometry as schemes
- Principal \(\infty \)-bundles: general theory
- Algebraization of complex analytic varieties and derived categories.
- On the homotopy type of the Deligne-Mumford compactification
- Simplicial presheaves
- Cech and Steenrod homotopy theories with applications to geometric topology
- Fibrations in etale homotopy theory
- Genetics of homotopy theory and the Adams conjecture
- Topological hypercovers and \(\mathbb{A}^1\)-realizations
- Higher Galois theory
- log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
- Étale realization on the \(\mathbb A^1\)-homotopy theory of schemes
- Étale homotopy equivalence of rational points on algebraic varieties
- Kato-Nakayama spaces, infinite root stacks and the profinite homotopy type of log schemes
- Profinite homotopy theory
- Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
- Some remarks on etale homotopy theory and a conjecture of Adams
- Etale homotopy
- Moore-Postnikov systems for non-simple fibrations
- A model structure on the category of pro-simplicial sets
- Some remarks on profinite completion of spaces
- Mapping stacks of topological stacks
- Etale Homotopy of Simplicial Schemes. (AM-104)
- Some estimates from étale cohomology.
- Infinite root stacks and quasi-coherent sheaves on logarithmic schemes
- Torsors, Étale Homotopy and Applications to Rational Points
- Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi
- Homotopical algebraic geometry. II. Geometric stacks and applications
- Homotopy Obstructions to Rational Points
- Higher Topos Theory (AM-170)
- Sur un espace compact localement contractile qui n'est pas un rétracte absolu de voisinage
