Galois points for double-Frobenius nonclassical curves
Autor: | Herivelto Borges, Satoru Fukasawa |
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Rok vydání: | 2020 |
Předmět: |
Pure mathematics
Class (set theory) Algebra and Number Theory Distribution (number theory) Plane curve Applied Mathematics 010102 general mathematics General Engineering 0102 computer and information sciences 01 natural sciences Theoretical Computer Science Mathematics - Algebraic Geometry Finite field 14H50 11G20 010201 computation theory & mathematics TEORIA DE GALOIS FOS: Mathematics 0101 mathematics Algebraic Geometry (math.AG) Mathematics |
Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
Popis: | 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. Comment: 8 pages |
Databáze: | OpenAIRE |
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