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arXiv · 1108.5823

Characterization of a Hermitian curve by Galois point

Satoru Fukasawa
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Abstract

For a plane curve, a point in the projective plane is said to be Galois when the point projection induces a Galois extension of function fields. We give a new characterization of a Fermat curve whose degree minus one is a power of $p$ in characteristic $p>2$, which is sometimes called Hermitian, by the number of Galois points lying on the curve.

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Satoru Fukasawa. 2011-08-30. Characterization of a Hermitian curve by Galois point. https://arxiv.org/abs/1108.5823

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