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arxiv: 1511.02598 · v1 · pith:HVCGO4ZUnew · submitted 2015-11-09 · 🧮 math.AG

Rational curves of degree four with two inner Galois points

classification 🧮 math.AG
keywords curvesrationaldegreefourgaloisinnerpointsplane
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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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