Algebraic curves in positive characteristic

• Grant number: 22/06589-5
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2022
• End date: July 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Saeed Tafazolian
• Grantee: Saeed Tafazolian
• 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 study algebraic curves defined over a field K of odd characteristic p. This is including to study curves over finite fields with many rational points, i.e., to construct maximal curves using fiber products of curves, to construct supersingular curves using class field theory and also to study the automorphism groups of certain curves. (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)

BOOTSMA, SVEN; TAFAZOLIAN, SAEED; TOP, JAAP. Maximal curves and Tate-Shafarevich results for quartic and sextic twists. FINITE FIELDS AND THEIR APPLICATIONS, v. 91, p. 13-pg., 2023-10-01. (22/06589-5)