Duality and automorphisms on algebraic curves over finite fields

• Grant number: 23/03547-2
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2023
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Nazar Arakelian
• Grantee: Nazar Arakelian
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The main objects that will be investigated in this project are the projective algebraic curves defined over finite fields. The main goals are: to investigate geometrical propertiesof strcit dual curves of certain families of curves, including the so called Frobenius non-classical curves and classify curves thru their automorphism groups and other birationalinvariants. (AU)