论文标题
高度和田川动机数量
Heights and Tamagawa numbers of motives
论文作者
论文摘要
K. Kato最近定义并研究了混合动机的高度，并提出了一些有趣的问题。在本文中，我们将高度的研究与田川数量动机数量的研究联系起来。我们还部分回答了Kato的一个问题，即在混合泰特（Tate）动机和两位分级商的情况下，有界高度的混合动机数量。最后，我们提供了一个具体的计算，其中包含三个分级商的混合泰特动机数量。
K. Kato has recently defined and studied heights of mixed motives and proposed some interesting questions. In this paper, we relate the study of heights to the study of Tamagawa numbers of motives. We also partially answer one of Kato's questions about the number of mixed motives of bounded heights in the case of mixed Tate motives with two graded quotients. Finally, we provide a concrete computation with the number of mixed Tate motives with three graded quotients.
