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arxiv: 1403.1035 · v3 · pith:OHL2GE6Unew · submitted 2014-03-05 · 🧮 math.NT · math.AG

Strong approximation for a toric variety

classification 🧮 math.NT math.AG
keywords approximationkbarstrongsubsettimestoricvarietyalgebraic
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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.

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