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arXiv · 1206.6939

A hyperplane section theorem for Galois points and its application

Satoru Fukasawa
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Abstract

A point $P$ in projective space is said to be Galois with respect to a hypersurface if the function field extension induced by the projection from $P$ is Galois. We present a hyperplane section theorem for Galois points. Precisely, if $P$ is a Galois point for a hypersurface, then $P$ is Galois for a general hyperplane section passing through $P$. As an application, we determine hypersurfaces of dimension $n$ with $n$-dimensional sets of Galois points.

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Satoru Fukasawa. 2012-06-29. A hyperplane section theorem for Galois points and its application. https://arxiv.org/abs/1206.6939

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