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Cyclic homology, cdh-cohomology and negative K-theory
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Cortiñas, Guillermo, Haesemeyer, Christian, Schlichting, Marco and Weibel, Charles (2008) Cyclic homology, cdh-cohomology and negative K-theory. Annals of Mathematics, Vol.167 (No.2). pp. 549-573. doi:10.4007/annals.2008.167.549 ISSN 0003-486X.
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Official URL: http://dx.doi.org/10.4007/annals.2008.167.549
Abstract
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annals of Mathematics | ||||
Publisher: | Mathematical Sciences Publishers | ||||
ISSN: | 0003-486X | ||||
Official Date: | March 2008 | ||||
Dates: |
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Volume: | Vol.167 | ||||
Number: | No.2 | ||||
Page Range: | pp. 549-573 | ||||
DOI: | 10.4007/annals.2008.167.549 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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