Algebraic K-theory and descent for blow-ups

By M. Kerz, Florian Strunk, Georg Tamme. 2016

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3cc335497e0750e50417d5cea3ee2f0544f7c92a