| Derivatives of Frobenius and Derivatives of Hodge–Tate Weights |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 11671137) |
| |
| 摘 要： | In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations. We generalize the Fontaine–Mazur L-invariant and use it to build a formula which is a generalization of the Colmez–Greenberg–Stevens formula. For the purpose of proving this formula we show two auxiliary results called projection vanishing property and "projection vanishing implying L-invariants" property.
|
Derivatives of Frobenius and Derivatives of Hodge-Tate Weights |
| |
| Bing Yong XIE. Derivatives of Frobenius and Derivatives of Hodge-Tate Weights[J]. Acta Mathematica Sinica(English Series), 2021, 37(1): 1-34. DOI: 10.1007/s10114-019-8046-9 |
| |
| Authors: | Bing Yong XIE |
| |
| Affiliation: | Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China |
| |
| Abstract: | In this paper we study the derivatives of Frobenius and the derivatives of Hodge-Tate weights for families of Galois representations with triangulations. We generalize the Fontaine-Mazur L-invariant and use it to build a formula which is a generalization of the Colmez-Greenberg-Stevens formula. For the purpose of proving this formula we show two auxiliary results called projection vanishing property and "projection vanishing implying L-invariants" property. |
| |
| Keywords: | Fontaine-Mazur L-invariant Galois representation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
