Minimal Splitting Surface Determined by a Projection of a Smooth Quartic Surface

• 来源期刊: 代数集刊（英文版）
• 关键词: Galois point quartic surface minimal splitting surface
• 年，卷（期）: 2002,（1）
• 页码范围: 107-115
• 页数: 9页
• 语种: 英文

摘要

Let S be a smooth quartic hypersurface in the projective three space and consider a projection of S from P ∈ S to a hyperplane H. This projection induces an extension of fields k(S)/k(H). Let LP be the Galois closure and X a smooth model of Lp. We show that X is a surface of general type if the extension is not GMois.