Branched Covering and Profinite Completion

Autor:	Hu, Runjie
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology Mathematics - Algebraic Geometry Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	Artin-Mazur established the \'etale homotopy theory of schemes and proved the generalized Riemann existence theorem, i.e., all \'etale morphisms of a complex finite type scheme induce its profinite completion. We generalize it to piecewise linear pseudomanifolds and prove that all branched coverings of a pseudomanifold induce its profinite completion.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.05231 Zobrazit plný text záznamu View this record from Arxiv