Grothendieck ring of pretriangulated categories
| dc.creator | Bondal, A. I. | |
| dc.creator | Larsen, M. | |
| dc.creator | Lunts, V. A. | |
| dc.date | 2004-01-02 | |
| dc.date.accessioned | 2026-07-07T05:04:20Z | |
| dc.date.available | 2026-07-07T05:04:20Z | |
| dc.description | We consider the abelian group $PT$ generated by quasi-equivalence classes of pretriangulated DG categories with relations coming from semi-orthogonal decompositions of corresponding triangulated categories. We introduce an operation of "multiplication" $\bullet$ on the collection of DG categories which makes this abelian group into a commutative ring. A few applications are considered: representability of "standard" functors between derived categories of coherent sheaves on smooth projective varieties and a construction of an interesting motivic measure. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401009 | |
| dc.identifier | http://arxiv.org/abs/math/0401009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69763 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Grothendieck ring of pretriangulated categories | |
| dc.type | text |