Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LINEAR AUTOMORPHISMS OF SMOOTH HYPERSURFACES GIVING GALOIS POINTS

  • Received : 2020.05.12
  • Accepted : 2021.01.29
  • Published : 2021.05.31
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Abstract

Let X be a smooth hypersurface X of degree d ≥ 4 in a projective space ℙn+1. We consider a projection of X from p ∈ ℙn+1 to a plane H ≅ ℙn. This projection induces an extension of function fields ℂ(X)/ℂ(ℙn). The point p is called a Galois point if the extension is Galois. In this paper, we will give necessary and sufficient conditions for X to have Galois points by using linear automorphisms.

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References

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