Article ID Journal Published Year Pages File Type
9493294 Journal of Algebra 2005 11 Pages PDF
Abstract
We study the structure of function fields of plane curves following our method developed in [K. Miura, H. Yoshihara, Field theory for function fields of plane quartic curves, J. Algebra 226 (2000) 283-294]. Especially, we study Galois points on singular plane quartic curves and determine the number of Galois points on them. Furthermore, we give concrete defining equations when the curve has a Galois point.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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