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math.AG2011★ 1 cited
Characterization of a Hermitian curve by Galois point
Satoru Fukasawa
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…
math.AG2011
Rational curves with many rational points over a finite field
Satoru Fukasawa, Masaaki Homma, Seon Jeong Kim
We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational cu…