Free plane algebraic curves

• Grant number: 22/03283-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2022
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Cibele Carolina de Souza Sá
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/21391-1 - Gauge theory and algebraic geometry, AP.TEM

Abstract

The main objective of this project is to make an introductory study of algebraic geometry, which is an area of mathematics that combines commutative algebra techniques with problems related to geometry. Specifically, we will study a class of algebraic varieties which are algebraic curves. We will present the main results of the theory and then, we will study about free divisors with a focus on providing criteria for the freedom of plane curves. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SÁ, Cibele Carolina de Souza. Free plane algebraic curves. 2024. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.