A generalization of Colmez-Greenberg-Stevens formula

DOI10.21915/BIMAS.2020402zbMath1469.11161arXiv2101.00776OpenAlexW3121858058MaRDI QIDQ5004091

Bing Yong Xie

Publication date: 30 July 2021

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00776

zbMATH Keywords

Frobenius\(\mathcal{L}\)-invariantHodge-Tate weight

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80)

Cites Work

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• \(\mathcal{L}\)-invariants and logarithm derivatives of eigenvalues of Frobenius
• The \({\mathcal {L}}\)-invariant, the dual \({\mathcal{L}}\)-invariant, and families
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs
• \(p\)-adic representations and differential equations
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• A generalization of Greenberg's <i>L</i>-invariant
• Classification of two-dimensional split trianguline representations ofp-adic fields
• Trianguline representations

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