Weibel's K-dimensional conjecture

Let ZZ be a noetherian scheme of finite Krull dimension nn, and let KqB(Z)K_{-q}^B(Z) denote its negative Bass KK-group. For an integer q>nq>n,

Weibel's K-dimensional conjecture. One has

KqB(Z)=0.K_{-q}^B(Z)=0.

This is the negative KK-theory vanishing conjecture for noetherian schemes, recalled in the source in the context of KK-theory with support for Cohen–Macaulay schemes. The supplied text does not state whether it has been resolved.

Sources & referencesView supporting material

Primary source

Toshiro Hiranouchi and Satoshi Mochizuki, “Deforming motivic theories I: Pure weight perfect Modules on divisorial schemes”, arXiv:0803.3669 (2008).

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