In mathematics, Weibel's conjecture gives a criterion for vanishing of negative algebraic K-theory groups.
The conjecture was proposed by Charles Weibel (1980).
After several authors proved partial cases, it was proven in full generality by Kerz, Strunk & Tamme (2018) using methods from derived algebraic geometry.
Weibel's conjecture asserts that for a Noetherian scheme X of finite Krull dimension d, the K-groups vanish in degrees < −d: and asserts moreover a homotopy invariance property for negative K-groups This algebraic geometry–related article is a stub.
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