Plane algebraic curves, Plücker formulas and Puiseux series

• Grant number: 16/20857-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2017
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Parham Salehyan
• Grantee: Gabriel Fazoli Domingos
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

The objective of this project is to study the theory of algebraic plane curves. We will study some classical and important results such as Bézout's theorem and Plücker formulas, and also the local properties of curves using power series. (AU)