Full text | |
Author(s): |
Total Authors: 2
|
Affiliation: | [1] Univ Fed ABC, Ctr Math Comp & Cognit, Ave Estados 5001, BR-09210580 Santo Andre - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
Document type: | Journal article |
Source: | Israel Journal of Mathematics; v. 228, n. 1, p. 177-199, OCT 2018. |
Web of Science Citations: | 0 |
Abstract | |
Let chi be a projective irreducible nonsingular algebraic curve defined over a finite field F-q. This paper presents a variation of the Stohr-Voloch theory and sets new bounds to the number of F-q(r) -rational points on chi. In certain cases, where comparison is possible, the results are shown to improve other bounds such as Weil's, Stohr-Voloch's and Ihara's. (AU) | |
FAPESP's process: | 15/03984-7 - Rational points on algebraic curves |
Grantee: | Herivelto Martins Borges Filho |
Support Opportunities: | Scholarships abroad - Research |
FAPESP's process: | 13/00564-1 - Rational points on algebraic curves over finite fields. |
Grantee: | Nazar Arakelian |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |