The Galois closure of the multi-Frobenius nonclassical curves
Topics in Algebraic Curves: Zeta Function and Frobenius nonclassical curves
Partial actions, Galois cohomology and seven term exact sequences
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Yamagata Univ, Fac Sci, Dept Math Sci, Kojirakawa Machi 1-4-12, Yamagata 9908560 - Japan
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | FINITE FIELDS AND THEIR APPLICATIONS; v. 61, JAN 2020. |
| Web of Science Citations: | 0 |
| 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. (C) 2019 Published by Elsevier Inc. (AU) | |
| FAPESP's process: | 17/04681-3 - Algebraic curves over finite fields |
| Grantee: | Herivelto Martins Borges Filho |
| Support Opportunities: | Regular Research Grants |