Curves with many rational points over finite fields

• Grant number: 15/08941-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 01, 2015
• End date: September 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Fernando Eduardo Torres Orihuela
• Grantee: Fernando Eduardo Torres Orihuela
• Visiting researcher: Saeed Tafazolian
• Visiting researcher institution: Institute for Research in Fundamental Sciences (IPM), Iran
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The aim of this project is to complete some works with Fernando Torres. These include the study of curves over finite fields with many poinbts, a characterization of the Ree curve, and the consideration of the Weierstrass semigroups at certain optimal towers of curves. (AU)