Galois points on singular plane quartic curves

JOURNAL OF ALGEBRA

卷:287

Article

Miura, K

关键词: Galois point;    singular plane quartic curve;   

DOI  :  10.1016/j.jalgebra.2005.02.015

来源: Elsevier

【 摘 要 】

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. © 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free