Zeroth $\mathbb{A}^1$-homology of smooth proper varieties
Algebraic Geometry
2022-05-26 v2 Algebraic Topology
K-Theory and Homology
Abstract
We give an explicit formula for the zeroth -homology sheaf of a smooth proper variety. We also provide a simple proof of a theorem of Kahn-Sujatha which describes hom sets in the birational localization of the category of smooth varieties.
Cite
@article{arxiv.2101.04951,
title = {Zeroth $\mathbb{A}^1$-homology of smooth proper varieties},
author = {Junnosuke Koizumi},
journal= {arXiv preprint arXiv:2101.04951},
year = {2022}
}
Comments
9 pages