Galois lines for normal elliptic space curves, II
Algebraic Geometry
2015-03-17 v1
Abstract
For each linearly normal elliptic curve in , we determine Galois lines and their arrangement. The results are as follows: the curve has just six -lines and in case , it has eight -lines in addition. The -lines form the edges of a tetrahedron, in case , for each vertex of the tetrahedron, there exist just two -lines passing through it. We obtain as a corollary that each plane quartic curve of genus one does not have more than one Galois point.
Cite
@article{arxiv.1004.4962,
title = {Galois lines for normal elliptic space curves, II},
author = {Hisao Yoshihara},
journal= {arXiv preprint arXiv:1004.4962},
year = {2015}
}
Comments
For Galois points or Galois lines, please visit my web page: http://mathweb.sc.niigata-u.ac.jp/~yosihara/openquestion.html