Characterization of a Hermitian curve by Galois point

Details Characterization of a Hermitian curve by Galois point Characterization of a Hermitian curve by Galois point

2011-08-30

arxiv.org/abs/1108.5823v2

Mathematics

Algebraic Geometry

11 pages, Added one Lemma and modified some proofs

Scientific paper

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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