• Invariantes de germes de aplicações 

      Ament, Daiane Alice Henrique; http://lattes.cnpq.br/0444070739009629 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, Câmpus São Carlos, 19/04/2017)
      In this work, we show relations between invariants of map germs. First, we consider an analytic function germ f : (X, 0) —(C, 0) on an isolated determinantal singularity and we present a relation between the Euler obstruction ...
    • A conjectura de Zariski para a multiplicidade 

      Carvalho, Emílio de; http://lattes.cnpq.br/1470194346779040 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 24/06/2010)
      In his retiring Presidential address to the American Mathematical Society in 1971, Zariski proposed some questions in the Theory of Singularities. One of them concerns the topological invariance of the multiplicity of ...
    • Teoria de invariantes de formas binárias 

      Fehlberg Júnior, Renato; http://lattes.cnpq.br/4297634330123270 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 26/03/2010)
      In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating ...
    • Problemas de autovalores de Steklov-Neumann e aplicações 

      Godoi, Juliano Damião Bittencourt de; http://lattes.cnpq.br/7641553268884764 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 26/03/2012)
      In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations ...
    • O número de Milnor de uma singularidade isolada 

      Oréfice, Bruna; http://lattes.cnpq.br/6824383277098012 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 24/11/2011)
      Given (X; 0) C (CN; 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (CN; 0) - C a germ of function finitely determined with respect to X, we show that UBR(f;X) = U(f) + U(X; f), where U(f) ...
    • Germes de funções sobre variedades analíticas 

      Silva, Marcela Duarte da; http://plsql1.cnpq.br/sigef_imp/PRC_HIST_PROC?F_COD_RH=K4744584A0 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 03/03/2006)
      The study of analytic germs of functions (Cn, 0) → (C, 0) under R - equivalence relation is a central point in Singularity Theory and the information we have in this direction is very rich. In this dissertation we ...
    • Poliedro de Newton e o número de Milnor. 

      Spohr, Cristina (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, , 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 ...