Álgebra y Geometría

Jueves 23 de enero de 2020
17:00hrs

Salón de Cristal (Aula 4)


Imparte(n)

  • Otoniel Da Silva
    (UCIM)

Responsable(s):

  • Carlos Alfonso Cabrera Ocañas
  • Julie Decaup

Resumen:

In this talk we consider some notions of equisingularity in a family of generically reduced curves. We consider some equisingular criteria as topological triviality, Whitney equisingularity and strong simultaneous resolution. In this context, we prove that Whitney equisingularity is equivalent to strong simultaneous resolution and it is also equivalent to the constancy of the Milnor number and the multiplicity of the fibers. These results are extensions to the case of flat deformations of generically reduced curves, of known results on reduced curves. When the family $(X,0)$ is topologically trivial, we also characterize Whitney equisingularity through Cohen-Macaulay property of a certain local ring associated to the parameter space of the family.


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