Field Theory for Function Fields of Plane Quintic Curves

• 来源期刊: 代数集刊（英文版）
• 关键词: Galois point plane quintic curve minimal splitting curve
• 年，卷（期）: 2002,（3）
• 页码范围: 303-312
• 页数: 10页
• 语种: 英文

摘要

We study the structure of function fields of plane curves following our method developed in [3]. Let K be the function field of a smooth plane curve C.Let Km be a g-maximal rational subfield of K. Then the field extension K/Km is obtained by the projection from C to a line with center P ∈ C. By using this fact, we study the field extension K/Km from a geometrical viewpoint. In this paper, we treat quintic curves as a continuation of [3, 4].