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Fields of moduli of three-point $G$ -covers with cyclic $p$ -Sylow, II

Andrew Obus — 2013

Journal de Théorie des Nombres de Bordeaux

We continue the examination of the stable reduction and fields of moduli of $G$ -Galois covers of the projective line over a complete discrete valuation field of mixed characteristic $(0, p)$ , where $G$ has a $p$ -Sylow subgroup $P$ of order $p^{n}$ . Suppose further that the normalizer of $P$ acts on $P$ via an involution. Under mild assumptions, if $f : Y \to ℙ^{1}$ is a three-point $G$ -Galois cover defined over $\bar{ℚ}$ , then the $n$ th higher ramification groups above $p$ for the upper numbering of the (Galois closure of the) extension...

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Fields of moduli of three-point G -covers with cyclic p -Sylow, II

Fields of moduli of three-point $G$ -covers with cyclic $p$ -Sylow, II