Deforming motivic theories I: Pure weight perfect Modules on divisorial schemes
| dc.creator | Hiranouchi, Toshiro | |
| dc.creator | Mochizuki, Satoshi | |
| dc.date | 2008-03-26 | |
| dc.date.accessioned | 2026-07-07T09:28:23Z | |
| dc.date.available | 2026-07-07T09:28:23Z | |
| dc.description | In this paper, we introduce a notion of weight r pseudo-coherent Modules associated to a regular closed immersion i:Y -> X of codimension r, and prove that there is a canonical derived Morita equivalence between the DG-category of perfect complexes on a divisorial scheme X whose cohomological support are in Y and the DG-category of bounded complexes of weight r pseudo-coherent O_X-Modules supported on Y. The theorem implies that there is the canonical isomorphism between the Bass-Thomason-Trobaugh non-connected K-theory [TT90], [Sch06] (resp. the Keller-Weibel cyclic homology [Kel98], [Wei96]) for the immersion and the Schlichting non-connected K-theory [Sch04] associated to (resp. that of) the exact category of weight r pseudo-coherent Modules. For the connected K-theory case, this result is just Exercise 5.7 in [TT90]. As its application, we will decide on a generator of the topological filtration on the non-connected K-theory (resp. cyclic homology theory) for affine Cohen-Macaulay schemes. | |
| dc.identifier | https://arxiv.org/abs/0803.3669 | |
| dc.identifier | http://arxiv.org/abs/0803.3669 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157439 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19D10; 19D35; 19D55 | |
| dc.title | Deforming motivic theories I: Pure weight perfect Modules on divisorial schemes | |
| dc.type | text |