论文标题
零循环弱近似值的兼容性在品种产品上
Compatibility of weak approximation for zero-cycles on products of varieties
论文作者
论文摘要
将零周期的猜想用于满足弱近似值，并用Brauer-Manin障碍物，以在数量场上定义的适当的平滑品种。粗略地说，我们证明了猜想与合理连接的品种，K3表面，Kummer品种和一条曲线的产品兼容。
Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties, and one curve.
