阿拉克洛夫几何学与半阿贝尔变量的正则化
Geometrie d'Arakelov et hauteurs canoniques sur des varietes semi-abeliennes
摘要：
半阿贝尔簇上的典范高度和Arakelov几何。本文在Arakelov几何的框架下，给出了交换簇的乘法群扩张上的典范高度的构造。这些规范高度是来自于阿贝尔簇的高度和我们称之为相对高度的总和。最后对相对高度为零的点给出了一些补充。
英文摘要：
Canonical heights and Arakelov geometry on semi-abelian varieties. In this paper, we propose a construction of the canonical heights on an extension of an abelian variety by the multiplicative group, in the framework of Arakelov geometry. These canonical heights are the sum of some height coming from the abelian variety and something we call a relative height. We finally give some complements about the points whose relative height is zero.
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。
