Gros-Schoen循环和对偶滑轮
Gross--Schoen Cycles and Dualising Sheaves
摘要：
本文研究了Gross和Schoen定义的整体域上曲线的三重积中的修正对角环。我们的主要结果是一个身份之间的高度，这个周期和自相交的相对对偶层。我们对下列问题在数论和代数几何中有一些应用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
