adelic线丛的算术Hodge指标定理 II
数论
2021-08-24 v2
摘要
这是系列论文的第二篇。它基于作者们最近的adelic线丛理论，将第一篇的结果从数域推广到有限生成域。我们证明了这些adelic线丛的算术Hodge指标定理，并应用该定理得到了任意域上可极化代数动力系统预周期点集合的刚性性质。
引用
@article{arxiv.1304.3539,
title = {The arithmetic Hodge index theorem for adelic line bundles II},
author = {Xinyi Yuan and Shou-Wu Zhang},
journal= {arXiv preprint arXiv:1304.3539},
year = {2021}
}
备注
The original version (arXiv:1304.3539v1) published in 2013 has been divided into two papers: a paper (arXiv:2105.13587) addressing the theory of adelic line bundles and the current new version (arXiv:1304.3539v2) addressing the Hodge index theorem for adelic line bundles