Rational points on algebraic curves

• Grant number: 15/03984-7
• Support Opportunities: Scholarships abroad - Research
• Start date: August 01, 2015
• End date: July 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Herivelto Martins Borges Filho
• Grantee: Herivelto Martins Borges Filho
• Host Investigator: Joseph Harris
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Harvard University, Cambridge, United States

Abstract

We propose to investigate some questions related to the number of rational points on curves over finite fields. Most of these questions were raised after some recent work of the author regarding a variation of the Stohr-Voloch Theory. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BORGES, HERIVELTO; HOMMA, MASAAKI. Points on singular Frobenius nonclassical curves. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 48, n. 1, p. 93-101, MAR 2017. (15/03984-7)

ARAKELIAN, NAZAR; BORGES, HERIVELTO. Bounds for the number of points on curves over finite fields. Israel Journal of Mathematics, v. 228, n. 1, p. 177-199, OCT 2018. (15/03984-7, 13/00564-1)