Browsing by Advisor "5a8b93b6-0dcb-4118-a42b-eb9b1757ef94"

Now showing items 1-3 of 3

    • Um estudo sobre índices de campos de vetores 

      Bacelar, Leandro de Jesus Nascimento (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)
      One of the main goals of this project is to study the index of vector fields in compact surfaces and present the Poincar´e-Hopf Theorem, remarking that such a result connects topological elements to geometric objects.

    • O grau de uma aplicação: uma abordagem via aplicação diferencial 

      Melo, Olavo Queiroga de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 01/09/2023)
      In this work, we study the concepts of degree and local degree for maps between manifolds. Furthermore, we define the Poincaré-Hopf index and study some relevant proprieties of this index such as the famous Poincaré-Hopf ...

    • Fecho integral de módulos, multiplicidades e poliedros de Newton 

      Araújo, Amanda Santos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 03/08/2022)
      In this work, we study the integral closure of ideals, Newton polyhedra and Newton non-degenerate ideals. Moreover, we present generalizations of these concepts for modules then, we study the characterization of Newton ...