Weibel's vanishing and regularity conjecture for negative K-theory
Weibel's vanishing and regularity conjecture for negative K-theory
Let be a Noetherian scheme of dimension . For a contravariant functor on schemes, call -regular if, for every , the map is an isomorphism. Weibel's conjecture.
and is -regular. This predicts vanishing of algebraic -theory below the negative of the dimension together with regularity in the boundary degree. It is proved for schemes essentially of finite type over a field of characteristic zero, but remains open in characteristic except for curves and surfaces.
Progress summary
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Sources & referencesView supporting material
Primary source
G. Cortiñas, C. Haesemeyer, M. Schlichting and C. A. Weibel, “Cyclic homology, cdh-cohomology and negative K-theory”, arXiv:math/0502255 (2005).
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