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arxiv: 1611.08466 · v4 · pith:5EDZA2LSnew · submitted 2016-11-25 · 🧮 math.KT · math.AG

Algebraic K-theory and descent for blow-ups

classification 🧮 math.KT math.AG
keywords algebraick-theoryabstractapplicationblow-upblow-upsconjecturederive
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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.

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