Strong approximation for a toric variety

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.

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

Cited by in corpus (2)

• Brauer-Manin obstruction for Erdős-Straus surfaces
• Arithmetic purity of strong approximation for homogeneous spaces