The Grunwald problem and specialization of families of regular Galois\n extensions

2017/10/16 by Joachim König, König, Joachim
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1710.05548

openalex publication_date 2017/10/16 · openalex created_date 2022/09/18 · openalex updated_date 2026/07/28

Abstract

We investigate specializations of infinite families of regular Galois\nextensions over number fields. The problem to what extent the local behaviour\nof specializations of one single regular Galois extension can be prescribed has\nbeen investigated by D `ebes and Ghazi in the unramified case, and by Legrand,\nNeftin and the author in general. Here, we generalize these results and give a\npartial solution to Grunwald problems using Galois extensions arising as\nspecializations of a family of regular Galois extensions.\n

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