Rational cuspidal curve with a Galois point

2011 ◽  
Vol 284 (11-12) ◽  
pp. 1583-1587
Author(s):  
Hisao Yoshihara
Keyword(s):  
Galois Point

scholarly journals Curves with more than one inner Galois point

2021 ◽  
Vol 566 ◽  
pp. 374-404
Author(s):  
Gábor Korchmáros ◽  
Stefano Lia ◽  
Marco Timpanella
Keyword(s):  
Galois Point

scholarly journals Galois Lines for Normal Elliptic Space Curves, II

2012 ◽  
Vol 19 (spec01) ◽  
pp. 867-876 ◽  
Author(s):  
Hisao Yoshihara
Keyword(s):  
Elliptic Curve ◽  
Space Curves ◽  
Quartic Curve ◽  
Elliptic Space ◽  
Galois Point

For each linearly normal elliptic curve C ⊂ ℙ3, we determine Galois lines and their arrangement. We prove that the curve C has exactly six V4-lines. In case j(C) = 1, it has eight Z4-lines in addition. The V4-lines form the edges of a tetrahedron. In case j(C) = 1, for each vertex of the tetrahedron, there exist exactly two Z4-lines passing through it. As a corollary we obtain that each plane quartic curve of genus 1 does not have more than one Galois point.

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