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Galois points for plane rational curves. (English) Zbl 1132.14309

Summary: We have studied Galois points for smooth plane curves from several points of view and obtained some results [the author, J. Algebra 239, No. 1, 340–355 (2001; Zbl 1064.14023)], however for singular ones we have done only a few. In this note we consider Galois points for singular plane rational curves. We present new phenomena and find all possible Galois groups, in particular we prove the number of Galois points is at most three.

MSC:

14H50 Plane and space curves
14H05 Algebraic functions and function fields in algebraic geometry

Citations:

Zbl 1064.14023
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