Algebraic K-theory and descent for blow-ups

Kerz, Moritz and Strunk, Florian and Tamme, Georg (2018) Algebraic K-theory and descent for blow-ups. INVENTIONES MATHEMATICAE, 211 (2). pp. 523-577. ISSN 0020-9910, 1432-1297

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: CYCLIC HOMOLOGY; HOMOTOPY; COHOMOLOGY; CATEGORIES; GEOMETRY; SCHEMES;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Moritz Kerz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2020 14:04
Last Modified: 20 Mar 2020 14:04
URI: https://pred.uni-regensburg.de/id/eprint/15156

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