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- Title
Galois Lines for Normal Elliptic Space Curves.
- Authors
Duyaguit, Ma. Cristina Lumakin; Hisao Yoshihara
- Abstract
Let C be a curve, and l and l0 be lines in the projective three space ℙ3. Consider a projection πl: ℙ3 ⋯ → l0 with center l, where l ⋂ l0= ∅. Restricting πl to C, we obtain a morphism πl|C : C → l0 and an extension of fields (πl|C)* : k(l0) ↪ 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 of plane quartic curves.
- Subjects
GALOIS theory; CURVES; NON-Euclidean geometry; GROUP theory; SET theory; ALGEBRAIC curves
- Publication
Algebra Colloquium, 2005, Vol 12, Issue 2, p205
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386705000192