On the numerology of ramification data for power series in\n characteristic p

2018/04/14 by Kevin Keating, Keating, Kevin
Mathematics · Medicine · #11S15 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Magnolia and Illicium research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1804.05222

openalex publication_date 2018/04/14 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

Let k be a perfect field of characteristic p and set K=k((t)). In this\npaper we study the ramification properties of elements of Aut_k(K). By\nchoosing a uniformizer for K we may interpret our theorems in terms of power\nseries over k. The most important tool that we use is the field of norms\nconstruction of Fontaine and Wintenberger.\n

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• Refined ramification breaks in characteristic p
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• Wildly ramified power series with large multiplicity
• Invitation to higher local fields, Part I, section 17: An approach to higher ramification theory