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2020 / December Volume 15 No.4
A generalization of Colmez-Greenberg-Stevens formula
Published Date
2020 / December
Title
A generalization of Colmez-Greenberg-Stevens formula
Author
Bingyong Xie
Keyword
Frobenius, Hodge-Tate weight, L-invariant
Download
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Pagination
287-320
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 give a generalization of the Fontaine-Mazur $\mathcal{L}$-invariant and use it to build a formula which is a generalization of the Colmez-Greenberg-Stevens formula.
DOI
10.21915/BIMAS.2020402
https://doi.org/10.21915/BIMAS.2020402
AMS Subject
Classification
11F80,11F85
Received
2020-11-23
Accepted
2020-12-16
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