English

Strong approximation for a toric variety

Number Theory 2019-07-17 v3 Algebraic Geometry

Abstract

Let X be a toric variety over a number field k with \kbar[X]^\times=\kbar^\times. Let W\subset X be a closed subset of codimension at least 2. We prove that X\setminus W satisfies strong approximation with algebraic Brauer--Manin obstruction.

Keywords

Cite

@article{arxiv.1403.1035,
  title  = {Strong approximation for a toric variety},
  author = {Dasheng Wei},
  journal= {arXiv preprint arXiv:1403.1035},
  year   = {2019}
}

Comments

There is a gap in the proof of Lemma 1.2 in the previous versions, so I remove the first part

R2 v1 2026-06-22T03:20:26.648Z