相对酉 RZ-空间与算术基本引理
代数几何
2019-07-24 v2
摘要
我们验证了 Wei Zhang 的算术基本引理（AFL）的新情形。这依赖于一种递归算法，该算法允许在特定条件下将所讨论的 AFL 恒等式归约到较低维度的 AFL 恒等式。这种归约的主要成分是 p-divisible 群的不同 PEL-型模问题之间的比较同构。该比较同构的构建基于由 Tobias Ahsendorf、Eike Lau 和 Thomas Zink 发展的相对 display 和 frame 理论。
引用
@article{arxiv.1611.06520,
title = {Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma},
author = {Andreas Mihatsch},
journal= {arXiv preprint arXiv:1611.06520},
year = {2019}
}
备注
The article is now formulated uniformly for strict formal $\mathcal{O}_K$-modules. In particular, Chapters 2 and 3 were merged. We also added Lemma 6.1 on the finiteness of the intersection product. Various typos were corrected and some editorial changes made