Cdh descent, cdarc descent, and Milnor excision

Autor:	Elmanto, Elden, Hoyois, Marc, Iwasa, Ryomei, Kelly, Shane
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - K-Theory and Homology
Druh dokumentu:	Working Paper
Popis:	We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision. Comment: 28 pages. v3: final version, to appear in Mathematische Annalen; v2: new title and minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.11647 Zobrazit plný text záznamu View this record from Arxiv