Rational curves of degree four with two inner Galois points

2015/11/09 by Satoru Fukasawa, Fukasawa, Satoru
Mathematics · #14H50 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H50

paper · pdf · doi:10.48550/arxiv.1511.02598

8 pages

arxiv created 2015/11/09 · arxiv updated 2015/11/10

Abstract

We characterize plane rational curves of degree four with two or more inner Galois points. A computer verifies the existence of plane rational curves of degree four with three inner Galois points. This would be the first example of a curve with exactly three them. Our result implies that Miura's bound is sharp for rational curves.

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