Abstract
We consider a plane curve C. A point P in the projective plane is said to be Galois with respect to C if the projection from the point P induces a Galois extension of function fields. In this article, we give a new example of a plane curve C of degree q+1 such that the set of Galois points for C coincides with the one of Fq-rational points of P2. This curve appears in the classification list of ‘non-reflexive plane curves of low degree’ in positive characteristic. We also determine the sets of Galois points for such low-degree plane curves.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.