• Poliedro de Newton e o número de Milnor 

      Spohr, Cristina (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/02/2006)
      In this work, we study the relation between Milnor's number and the Newton's number of a formal series. The former is always greater than or equal to the latter and equality occurs whan the formal series f has non-degenerate ...
    • Equisingularidades de funções definidas em ICIS e IDS 

      Carvalho, Rafaela Soares de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/03/2020)
      We study the equisingularity of a family of function germs $\{f_t\colon(X_t,0)\to (\mathbb{C},0)\}$, where $\{(X_t,0)\}$ is a family of $d$-dimensional isolated determinantal singularity. We define the $(d-1)$th polar ...
    • 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 ...