Topics in Algebraic Curves: Zeta Function and Frobenius nonclassical curves
The Galois closure of the multi-Frobenius nonclassical curves
Rational points and automorphisms on algebraic curves over finite fields
| Full text | |
| Author(s): |
Borges, Herivelto
;
Homma, Masaaki
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 48, n. 1, p. 93-101, MAR 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
In 1990, Hefez and Voloch proved that the number of F-q-rational points on a nonsingular plane q-Frobenius nonclassical curve of degree d is N = d(q - d+2). We address these curves in the singular setting. In particular, we prove that d( q - d+ 2) is a lower bound on the number of F-q - rational points on such curves of degree d. (AU) | |
| FAPESP's process: | 15/03984-7 - Rational points on algebraic curves |
| Grantee: | Herivelto Martins Borges Filho |
| Support Opportunities: | Scholarships abroad - Research |