English

Construction of triangulated categories of motives using the localization property

Algebraic Geometry 2017-08-03 v1 K-Theory and Homology

Abstract

Using the localization property, we construct a triangulated category of motives over quasi-projective T-schemes for any coefficient where T is a noetherian separated scheme, and we prove the Grothendieck six operations formalism. We also construct integral \'etale realization of motives.

Keywords

Cite

@article{arxiv.1708.00597,
  title  = {Construction of triangulated categories of motives using the localization property},
  author = {Doosung Park},
  journal= {arXiv preprint arXiv:1708.00597},
  year   = {2017}
}