Abstract
We introduce the notion of weight for pseudo-coherent Modules on a scheme. For a divisorial scheme X and a regular closed immersion i : Y → X of codimension r, We show that there is a canonical derived Morita equivalence between the DG-category of perfect complexes on X whose cohomological supports are in Y and the DG-category of bounded complexes of weight r pseudo-coherent O X -Modules supported on Y. This implies that there is a canonical isomorphism between their K-groups (resp. cyclic homology groups). As an application, we decide a generator of the topological filtration on nonconnected K-theory (resp. cyclic homology theory) for affine Cohen-Macaulay schemes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
