$\mathbb{A}^1$-equivalence of zero cycles on surfaces II
Algebraic Geometry
2018-07-25 v1
Abstract
Using recent developments in the theory of mixed motives, we prove that the log Bloch conjecture holds for an open smooth complex surface if the Bloch conjecture holds for its compactification. This verifies the log Bloch conjecture for all -homology planes and for open smooth surfaces which are not of log general type.
Keywords
Cite
@article{arxiv.1512.09079,
title = {$\mathbb{A}^1$-equivalence of zero cycles on surfaces II},
author = {Qizheng Yin and Yi Zhu},
journal= {arXiv preprint arXiv:1512.09079},
year = {2018}
}
Comments
13 pages. Comments are welcome!