论文标题
1-动物的高度配对
Height pairings of 1-motives
论文作者
论文摘要
这项工作的目的是在1-动力的背景下推广B. Mazur和J. Tate在Abelian品种上构建的$ P $ ADIC高度配对。遵循他们的方法，我们定义了1-动力的理性点与二元组合之间的全球配对。我们还在曲线上提供了零循环和除数之间的本地配对，这是通过考虑其PICARD和ALBANESE的1-动力来完成的。
The purpose of this work is to generalize, in the context of 1-motives, the $p$-adic height pairings constructed by B. Mazur and J. Tate on abelian varieties. Following their approach, we define a global pairing between the rational points of a 1-motive and its dual. We also provide local pairings between zero-cycles and divisors on a curve, which is done by considering its Picard and Albanese 1-motives.
