PreprintCC BY 4.0arXiv
Arithmetic purity of strong approximation for toric varieties with constant global sections
Abstract
Let X be a smooth toric variety over a number field k such that the global sections of X are constant. We show that U(k) is dense in U(Ak)Br1 (U) for any open subset U of X such that the codimension of X∖ U in X is at least 2.
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BibTeX
@misc{wei2026arithmetic,
title = {{Arithmetic purity of strong approximation for toric varieties with constant global sections}},
author = {Dasheng Wei and Fei Xu and Yi Zhu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28204},
eprint = {2608.28204},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28204},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Arithmetic purity of strong approximation for toric varieties with constant global sections
AU - Dasheng Wei
AU - Fei Xu
AU - Yi Zhu
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28204
UR - https://arxiv.org/abs/2608.28204
AB - Let X be a smooth toric variety over a number field k such that the global sections of X are constant. We show that U(k) is dense in U(A_k)^Br_1 (U) for any open subset U of X such that the codimension of X∖ U in X is at least 2.
ER -