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arXiv · 1807.11663

Galois points for double-Frobenius nonclassical curves

Herivelto Borges·Satoru Fukasawa
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Abstract

We determine the distribution of Galois points for plane curves over a finite field of $q$ elements, which are Frobenius nonclassical for different powers of $q$. This family is an important class of plane curves with many remarkable properties. It contains the Dickson-Guralnick-Zieve curve, which has been recently studied by Giulietti, Korchmaros, and Timpanella from several points of view. A problem posed by the second author in the theory of Galois points is modified.

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Herivelto Borges, Satoru Fukasawa. 2018-07-31. Galois points for double-Frobenius nonclassical curves. https://arxiv.org/abs/1807.11663

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