Gross–Schoen cycles and dualising sheaves
Gross–Schoen cycles and dualising sheaves
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DOI：
10.1007/s00222-009-0209-3
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发表时间：
2008-12
影响因子：
3.1
通讯作者：
Shou-wu Zhang
中科院分区：
文献类型：
--
作者：
Shou-wu Zhang
本文的目的是研究由 Gross 和 Schoen 定义的全局场上曲线的三重积中的修正对角循环。我们的主要结果是该循环的高度与相对对偶束的自交之间的恒等式。我们对数论和代数几何中的以下问题有一些应用。
The aim of this paper is to study the modified diagonal cycle in the triple product of a curve over a global field defined by Gross and Schoen. Our main result is an identity between the height of this cycle and the self-intersection of the relative dualising sheaf. We have some applications to the following problems in number theory and algebraic geometry.