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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Bounds for the number of points on curves over finite fields

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Author(s):
Arakelian, Nazar [1] ; Borges, Herivelto [2]
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