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Wildly primitive extensions

2016/08/15 by Chandan Singh Dalawat, Dalawat, Chandan Singh · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1608.04183

Abstract

A finite separable extension of a field is called primitive if there are no intermediate extensions. The most interesting primitive extensions of a local field with finite residue field are the wildly ramified ones, and our aim here is to parametrise them in a canonical manner.

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