Compatibility of weak approximation for zero-cycles on products of varieties
Algebraic Geometry
2020-04-21 v1 Number Theory
Abstract
Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties, and one curve.
Keywords
Cite
@article{arxiv.2004.09343,
title = {Compatibility of weak approximation for zero-cycles on products of varieties},
author = {Yongqi Liang},
journal= {arXiv preprint arXiv:2004.09343},
year = {2020}
}
Comments
This is the first version, comments are welcome