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Strong Approximation for a Toric Variety

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Abstract

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

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Acknowledgements

The author thanks Yifei Chen and D. Loughran for useful comments and discussions.

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Correspondence to Da Sheng Wei.

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Supported by National Natural Science Foundation of China (Grant Nos. 11622111, 11631009, 11621061 and 11688101)

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Wei, D.S. Strong Approximation for a Toric Variety. Acta. Math. Sin.-English Ser. 37, 95–103 (2021). https://doi.org/10.1007/s10114-021-8193-7

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  • DOI: https://doi.org/10.1007/s10114-021-8193-7

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