{ "id": "2310.11098", "version": "v1", "published": "2023-10-17T09:29:18.000Z", "updated": "2023-10-17T09:29:18.000Z", "title": "On Greenberg--Benois $\\mathcal{L}$-invariants and Fontaine--Mazur $\\mathcal{L}$-invariants", "authors": [ "Ju-Feng Wu" ], "categories": [ "math.NT" ], "abstract": "We prove a comparison theorem between Greenberg--Benois $\\mathcal{L}$-invariants and Fontaine--Mazur $\\mathcal{L}$-invariants. Such a comparison theorem supplies an affirmative answer to a speculation of Besser--de Shalit.", "revisions": [ { "version": "v1", "updated": "2023-10-17T09:29:18.000Z" } ], "analyses": { "subjects": [ "11F80", "11R34", "11S25", "11R23" ], "keywords": [ "invariants", "greenberg-benois", "fontaine-mazur" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }