摘要翻译:
F-晶体的Hodge-Newton分解和Hodge-Newton过滤的概念源于Katz,推广了Messing关于p-可分群存在局部过滤的结果。最近,Kottwitz将Katz的一些经典结果推广到具有附加结构的f-晶体,Moonen将Katz的一些经典结果推广到$\mu$-普通p-可分群。本文利用自同态对特征p中的晶体和具有附加结构的p-可除群的情形作了进一步的推广。
---
英文标题:
《On the Hodge-Newton filtration for p-divisible O-modules》
---
作者:
Elena Mantovan, Eva Viehmann
---
最新提交年份:
2007
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
The notions Hodge-Newton decomposition and Hodge-Newton filtration for F-crystals are due to Katz and generalize Messing's result on the existence of the local-\'etale filtration for p-divisible groups. Recently, some of Katz's classical results have been generalized by Kottwitz to the context of F-crystals with additional structures and by Moonen to $\mu$-ordinary p-divisible groups. In this paper, we discuss further generalizations to the situation of crystals in characteristic p and of p-divisible groups with additional structure by endomorphisms.
---
PDF链接:
https://arxiv.org/pdf/0710.4194