论文标题
两个子字段上绝对值的扩展
Extensions of absolute values on two subfields
论文作者
论文摘要
我们描述了同时在两个子字段上扩展绝对值的字段上的绝对值。我们还对Abhyankar在RAMIFIENT指数上的许多版本进行了普遍的概括，该章节既适用又易于说明。然后，我们将这些结果应用于对两个曲线形态的纤维产物C-> x和d-> X的计数点，该曲线形态c-> x和d-> x位于C和D上的规定点上。
We describe the absolute values on a field which simultaneously extend absolute values on two subfields. We also give a common generalization of many versions of Abhyankar's lemma on ramification indices, which is both widely applicable and easy to state. We then apply these results to count points on the fibered product of two curve morphisms C --> X and D --> X which lie over prescribed points on C and D.
