paper

Algebraic K-theory and descent for blow-ups

arXiv:1611.08466 · doi:10.1007/s00222-017-0752-2

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.

48 pages, final version