Finite dimensional objects in distinguished triangles
K-Theory and Homology
2015-04-16 v1 Algebraic Geometry
Abstract
We prove an additivity for evenly (oddly) finite dimensional objects in distinguished triangles in a triangulated monoidal category structured by an underlying model monoidal category. In particular, the result holds in the Q-localized motivic stable homotopy category of spectra and in Q-localized Voevodsky's category of motives over a field, char=0. As an application, we show that the motives of schemes of dimension one (separated and of finite type over a field, char=0) are finite dimensional.
Cite
@article{arxiv.math/0306297,
title = {Finite dimensional objects in distinguished triangles},
author = {Vladimir Guletskii},
journal= {arXiv preprint arXiv:math/0306297},
year = {2015}
}
Comments
36 pages