Cyclic homology, cdh-cohomology and negative K-theory
By Guillermo Cortiñas, Christian Haesemeyer, M. Schlichting, Charles A. Weibel. 2005
128 citations recorded by the source corpus.
We prove a blow-up formula for cyclic homology which we use to show that infinitesimal K-theory satisfies cdh-descent. Combining that result with some computations of the cdh-cohomology of the sheaf of regular functions, we verify a conjecture of Weibel predicting the vanishing of algebraic K-theory of a scheme in degrees less than minus the dimension of the scheme, for schemes essentially of finite type over a field of characteristic zero.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/68ac473426ce0dc06ce674b367301d367a852601
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In Geometry and Topology
- B. Keller
- Christian Haesemeyer
- Charles A. Weibel
- Guillermo Cortiñas
- I. Reiten
- Pierre-Guy Plamondon
- Osamu Iyama
- Bernard Leclerc
In Mathematical Physics
- B. Keller
- Charles A. Weibel
- Christian Haesemeyer
- Guillermo Cortiñas
- Alexander Kuznetsov
- I. Reiten
- Gonçalo Tabuada
- Osamu Iyama
Citations in the corpus
- On differential graded categories (2006, methodology): “We refer to the recent proof [28] ofWeibel’s conjecture [162] on the vanishing of negative K-theory for an application of the theorem.”
- K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst (2006, methodology): “Schlichting, whose contributions go beyond the collaboration [4].”