Topological Types of Algebraic Stacks
| Autor: | Chang-Yeon Cho |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Discrete mathematics
Homotopy group Homotopy category Model category General Mathematics Homotopy 010102 general mathematics Cofibration Topology Mathematics::Algebraic Topology 01 natural sciences n-connected Derived algebraic geometry 0103 physical sciences A¹ homotopy theory 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | International Mathematics Research Notices. 2021:7799-7849 |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnz065 |
| Popis: | The main goal of this paper is to set a foundation for homotopy theory of algebraic stacks under model category theory and to show how it can be applied in various contexts. It not only generalizes the étale homotopy theory to algebraic stacks but also provides more suitable framework for the homotopy theory in a broader context. Also, a new result that the profinite completion of pro-simplicial sets admits a right adjoint is provided and integrated with the foundational work to generalize Artin–Mazur’s comparison theorem from schemes to algebraic stacks in a formal way. |
| Databáze: | OpenAIRE |
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