Motivic six-functor formalism for log schemes
Algebraic Geometry
2024-03-13 v1
Abstract
We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincar\'e duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes.
Keywords
Cite
@article{arxiv.2403.07645,
title = {Motivic six-functor formalism for log schemes},
author = {Doosung Park},
journal= {arXiv preprint arXiv:2403.07645},
year = {2024}
}
Comments
44 pages