论文标题

完整折叠品种的强近似值的算术纯度

Arithmetic purity of strong approximation for complete toric varieties

论文作者

Chen, Sheng

论文摘要

在本文中,我们建立了强近似值的算术纯度,以实现加权射击空间的平滑基因座。通过使用此结果和下降方法,我们还证明,具有强烈近似值的算术纯度可用于任何光滑且完整的紫红色品种。

In this article, we establish the arithmetic purity of strong approximation for smooth loci of weighted projective spaces. By using this result and the descent method, we also prove that the arithmetic purity of strong approximation with Brauer-Manin obstruction holds for any smooth and complete toric variety.

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