English

Rational curves of degree four with two inner Galois points

Algebraic Geometry 2015-11-10 v1

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.

Keywords

Cite

@article{arxiv.1511.02598,
  title  = {Rational curves of degree four with two inner Galois points},
  author = {Satoru Fukasawa},
  journal= {arXiv preprint arXiv:1511.02598},
  year   = {2015}
}

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8 pages