Galois Lines for Normal Elliptic Space Curves

• 来源期刊: 代数集刊（英文版）
• 关键词: Galois line linearly normal space curve automorphism elliptic curve
• 年，卷（期）: 2005,（2）
• 页码范围: 205-212
• 页数: 8页
• 语种: 英文

摘要

Let C be a curve, and l and lO be lines in the projective three space P3.Consider a projection πl: P3... → lO with center l, where l ∩ lO = 0. Restricting πl to C,we obtain a morphism πl |C: C → lO and an extension of fields (πl|C)*: k(lO) → k(C). If this extension is Galois, then l is said to be a Galois line. We study the defining equations,automorphisms and the Galois lines for quartic curves, and give some applications to the theory ofplane quartic curves.