Algebraic K-theory and descent for blow-ups

• 成果类型: Article
• 署名作者: Kerz, Moritz; Strunk, Florian; Tamme, Georg
• 署名单位: University of Regensburg
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-017-0752-2
• 发表日期: 2018
• 页码: 523-577
• 关键词: cyclic homology; Homotopy; COHOMOLOGY; CATEGORIES; geometry; schemes

摘要

We prove that algebraic K-theory satisfies 'pro-descent' for abstract blow-up squares of noetherian schemes. As an application we derive Weibel's conjecture on the vanishing of negative K-groups.