Weak approximation of symmetric products and norm varieties
Algebraic Geometry
2023-06-01 v2 Number Theory
Abstract
Let k be a number field. For a variety X over k that satisfies weak approximation with Brauer-Manin obstruction, we study the same property for smooth projective models of its symmetric products. Based on the same method, we also explore the property of weak approximation with Brauer-Manin obstruction for norm varieties.
Keywords
Cite
@article{arxiv.2305.12648,
title = {Weak approximation of symmetric products and norm varieties},
author = {Sheng Chen and Ziyang Zhang},
journal= {arXiv preprint arXiv:2305.12648},
year = {2023}
}
Comments
9 pages; improved theorem 1.3