English

Arithmetic purity of strong approximation for complete toric varieties

Algebraic Geometry 2022-07-20 v1

Abstract

In this article, we establish the arithmetic purity of strong approximation for smooth loci of weighted projective spaces. By using this result and the descent method, we also prove that the arithmetic purity of strong approximation with Brauer-Manin obstruction holds for any smooth and complete toric variety.

Keywords

Cite

@article{arxiv.2207.09100,
  title  = {Arithmetic purity of strong approximation for complete toric varieties},
  author = {Sheng Chen},
  journal= {arXiv preprint arXiv:2207.09100},
  year   = {2022}
}
R2 v1 2026-06-25T01:02:32.789Z