Now showing items 1-4 of 4

    • The Nash Problem from a Geometric and Topological Perspective 

      Fernández de Bobadilla, J.Autoridad BCAM; Pe Pereira, M. (2018-04-17)
      We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the au- thors influenced it. Later we summarize the main ideas in the higher dimen- ...
    • The Nash Problem from Geometric and Topological Perspective 

      Fernández de Bobadilla, J.Autoridad BCAM; Pe Pereira, M. (2020-03-01)
      We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the authors influenced it. Later, we summarize the main ideas in the higher dimensional ...
    • On the generalized Nash problem for smooth germs and adjacencies of curve singularities 

      Fernández de Bobadilla, J.Autoridad BCAM; Pe Pereira, M.; Popescu-Pampu, P. (2017-12-10)
      In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space ...
    • Representation of surface homeomorphisms by tête-à-tête graphs 

      Fernández de Bobadilla, J.Autoridad BCAM; Pe Pereira, M.; Portilla Cuadrado, P. (2017-06-21)
      We use tête-à-tête graphs as defined by N. A'campo and extended versions to codify all periodic mapping classes of an orientable surface with non-empty boundary, improving work of N. A'Campo and C. Graf. We also introduce ...